# A piece of wire 30 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle

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**Calculus**

A piece of wire 12 m long is cut into two pieces. One piece is bent into the shape of a circle of radius r and the other is bent into a square of side s. How should the wire be cut so that the total area enclosed is: a) a maximum? r= and s=. b) a minimum? r= and s=

**calculus**

A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (a) How much wire should be used for the square in order to maximize the total area?

**Calculus**

A wire 4 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures...

**Calculus**

A wire 7 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures...

**Math**

You have a wire that is 35 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the ...

**Calculus**

A piece of wire 40 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is a maximum= minimum= Find the length of the wire used

**Calc Optimization**

A piece of wire 9 m long is cut into two pieces. one piece is bent into the shape of a circle of radius r and the other is bent into a square of side s. how should the wire be cut so that the total area enclosed is: I have found the minimum r=.6301115 and s=1.26022. I need ...

**Pre Cal**

a piece of wire 5 inches long is to be cut into two pieces. One piece is x inches long and is to be bent into the shape of a square. the other piece is to be bent into the shape of a circle. Find an expression for the total area made up by the square and the circle as a ...

**Math**

A piece of wire 9 m long is cut into two pieces. One piece is bent into the shape of a circle of radius r and the other is bent into a square of side s. How should the wire be cut so that the total area enclosed is: I need help finding the radius and side of the maximum and ...

**Calculus**

A piece of wire 40 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How much of the wire should go to the square to minimize the total area enclosed by both figures?

**Pre calculus**

You have a wire that is 71 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the ...

**calculus**

A five feet piece of wire is cut into two pieces. One Piece is bent into a square and the other is bent into an equilateral triangle. Where should the wire be cut so that the total area enclosed by both is minimum.

**Calc**

A wire 9 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures...

**MINIMIZATION PROBLEM (CALC)**

A wire 9 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures...

**MINIMIZATION PROBLEM (CALC)**

A wire 9 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures...

**Precalc**

•You have a wire that is 71 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a right triangle with legs of equal length. The other piece will be bent into the shape of a circle. Let A represent the total area enclosed by the triangle and ...

**Related rates**

A piece of wire 10 feet long is cut into two pieces. One piece is bent into the shape of a circle and the other into the shape of the square. How should the wire be cut so that the combined area of the two figures is as small as possible?

**Precalc**

You have a wire that is 100 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a right triangle with legs of equal length. The other piece will be bent into the shape of a circle. Let A represent the total area enclosed by the triangle and ...

**math**

A 2 feet piece of wire is cut into two pieces and once piece is bent into a square and the other is bent into an equilateral triangle. How much wire should be used for the square to ensure that the total area enclosed by both shapes is minimized?

**Calculus**

A piece of wire 24 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (Give your answers correct to two decimal places.) (a) How much wire should be used for the circle in order to maximize the total area? (b) How much wire ...

**Math**

A piece of wire 12 m long is cut into 2 pieces. One piece is bent into the shape of an equilateral triangle and the other into a shape of a circle. How should the wire be cut so that the combined area of the two figures is as small as possible?

**math**

a piece of wire 12 meters long is cut into two pieces.one piece is bent into the shape of an equilateral triangle and the other into the shape of a circle.how should the wire be cut so that the combined area of the two figures is as small as possible?

**Calculus!!!**

A piece of wire 28 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (a) How much wire should be used for the square in order to maximize the total area? (b) How much wire should be used for the square in order to minimize the ...

**Calculus**

a piece of wire 12 ft. long is cut into two pieces. one piece is made into a circle and the other piece is made into a square. Let the piece of length x be formed into a circle. allow x to equal 0 or 12, so all the wire is used for the square or for the circle. How long should...

**math**

a piece of wire 24 ft. long is cut into two pieces. one piece is made into a circle and the other piece is made into a square. Let the piece of length x be formed into a circle. allow x to equal 0 or 24, so all the wire is used for the square or for the circle. How long should...

**optimization calculus**

A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (a) How much of the wire should go to the square to maximize the total area enclosed by both figures? (b) how much of the wire should go to the square to ...

**HELLP!! calculus**

A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (a) How much of the wire should go to the square to maximize the total area enclosed by both figures? (b) how much of the wire should go to the square to ...

**Math**

A piece of wire of 14 meters long is cute into 2 pieces. One piece is bent into the shape of an equilateral triangle and the other into the shape of a circle. How should be the wire be cut so that the combined area of 2 figures is as small as possible?

**calculus help please**

A piece of wire 14 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? = 14 m (b) How much wire should be used for the square in ...

**Calc 1**

A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? (b) How much wire should be used for the square in order ...

**Calculus 1**

A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? (b) How much wire should be used for the square in order ...

**Calculus**

A piece of wire 40cm long is cut into two pieces. One piece is bent into the shape of a square and the other is bent into the shape of a circle. How should the wire be cut so that the total area enclosed is a) a maximum? /b) a minimum? Perimeter of square = x Circumference of ...

**Calculus Help Please Urgent!!!**

A piece of wire 14 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? 14 m this one I got right (b) How much wire should be used...

**Calculus**

A wire 17 inches long is cut into two pieces. One piece is bent to form a square and the other is bent to form a rectangle that is twice as wide as it is high. How should the wire be cut in order to minimize the total area of the square and rectangle?

**Differential Calculus**

Hi pls help me i dunno what to do show me complete solution please please Thank you. a piece of wire 10ft. long is cut into two pieces , one piece is bent into the shape of a circle and the other into the shape of a square. How should the wire be cut so that: a.)The combined ...

**math**

A florist uses wire frames to support flower arrangements displayed at weddings. Each frame is constructed from a wire length 9ft long that is cut into six pieces. the vertical edges of the frame consist of four of the pieces of wire that are each 12 inches long. one of the ...

**differential calculus**

a pc of wire 10feet long is cut into 2 pcs. one piece is bent into the shape of a circle and the other into the shape of a square. how should the wire be cut so that the combined area is as large as possible?

**math problem**

A piece of wire 24 cm long is cut into two pieces and each piece is bent to form a square . Find the lenght of each piece of wire in order to maximize the sum of the area of the two squares?

**Differential calculus**

A piece of wire of length 2 m. is cut into two parts, one of which is bent into the shape of a square and the other into a shape of a circle. How should the wire be cut so that sum of the enclosed areas is minimum.

**pre calculus**

A wire 10m long is cut into 2 pieces. one piece will be cut into a square the other piece will be shaped into a circle. Graph A= A(x) for what value of x is A smallest?

**Pre-Calc**

A piece of wire 100 cm long is cut into two pieces. One piece is bent to form a square and the other to form a circle. Let x equal the length of the wire used to form the square. A. write the function that represents the area of the two figures B. determine the domain of the ...

**Math**

A piece of wire is 60 inches long. The wire needs too be bent into two peices. The prices are both bent in a square. If the ratio of the length or the pieces are 3:2. What is the ration for the smaller square to the nuggets square?

**math**

A wire 360 cm long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an centimeter)? Take the length of the circle to be x cm.

**Calc**

A wire 100 inches long is to be cut into two pieces. One of the pieces will be bent into the shape of a circle and the other into the shape of a equilateral triangle. How should the wire be cut so as to maximize the sum of the area of the areas of the circle and triangle will ...

**math**

A wire 320 in. long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?

**Calculus**

i need help, im not sure how to get started : 1) A piece of wire 14 m long is cut into two pieces, the length of the first piece being x m. The first piece is bent into a circle, and the other is bent into a rectangle with length twice the width. Give an expression for the ...

**Pre-Cal**

A wire 360 inches long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?

**Mathematics-please help!**

A piece of wire 168cm. long is to be cut into two pieces, each to be bent to make a square. The lenght of a side of one square is to be 2cm. greater than the lenght of aside of the other. What is the area of the smaller square? Ans= 80

**Math**

a piece of wire is 20 cm. long. it is cut into pieces, each of which is then bent to form a square. the total area of the two squares is 13 sq. cm. How long is side of each square?

**geometry**

A wire 10 meters ong is to be cut into two pieces. One piece wil be shaped as a square, and the other piece will be shaped as a circle. (piece one is 4x, piece two is 10-4x) a)Express the total area A enclosed by the pieces of wire as a function of the length x of the side of ...

**Calculus**

A piece of wire x cm long is to be cut into two pieces, each to bent to be a square. the length of a side of one square is to be 9 times the length of a side of the other . Express the sum of the areas of two squares in term of x .

**math**

a wire is 36 m long is cut into two pieces , each piece is bent to form a rectangle which is 1 centimeter longer than its width. how long should each piece be to minimize the sum of the areas of the two rectangles?

**algebra**

a wire of 16 inches cut into 2 pieces. Each piece bent into a square. Find the length of the two pieces so the sum of the areas of the two squares in 10 square inches.

**Math - Calculus**

A piece of wire 16cm long is cut into 2 lengths, one of which is bent into a circle, the other into a rectangle with one side three times the other. a) Determine the ratio of the longer length of the rectangle to the radius of the circle if the sum of the areas of the circle ...

**math**

a wire 36 meter long is cut into two pieces. each piece is bent to form a rectangle which is 1 cm longer than its width. How long should each piece be to minimize the sum of the areas of the two rectangle?

**calc and Vectors**

A wire 60 cm long is to be cut into two pieces. One of the pieces will be bent into the shape of a square and the other into the shape of an equilateral triangle. The wire is to be cut in order that the sum of the areas of the square and the triangle is to be a maximum. An ...

**calculus**

A wire 360cm is cut into two pieces.One piece is formed into a square and the other is formed into a circle.If two figures have the same area,what are the two lenghts of two pieces of wire( to the nearest hundreth of centimeter?,show all the necessary working clearly.

**Math**

A piece of wire is 76cm long.it is cut into two unequal parts and each part is bent into a square.the sum of the areas of two squares is 205cm^2.find the length of the shorter part of the wire.

**Algebraic Polynomials**

I don't know where to go about creating a polynomial equations for the following problem: A piece of wire 52 in. long is cut into two pieces, and then each piece is formed into a square. If the sum of the areas of the two squares is 97 in.^2, how long are the pieces of wire? ...

**Precalculus**

There is a piece of wire 200 cm long. It needs to be cut into 2 pieces, with one piece forming an equilateral triangle and the other piece forming a circle. How long must each piece be to maximize the area of each shape?

**Pre algebra**

25ft piece wire cut into 2 pieces one piece is 19ft shorter than the other piece how long was each piece

**Calculus**

A 100 inch piece of wire is cut into two pieces. Each piece of wire is used to make a square wire frame. Let x be the length of one piece of the wire. Determine an algebraic representation A(x) for the total area of the two squares.

**Maths**

If a wire is bent into a square ,it's ara is 49cm2. If it is bent into a semi -circle , what will be its radius

**math**

An electrician cuts a 12-ft piece of wire into two pieces one piece is 8 feet shorter than the other piece how long was each piece

**math**

an electrician cuts a 29 foot piece of wire into two pieces. one piece is 4 feet longer than the other piece.how long is each piece?

**Calculus**

A wire of length 12 meter is cut into two parts; one part is bent to form a square, and the other is bent to form an equilateral triangle. Where the cut cut should be made if a) the sum of the two areas is to be a maximum? b) the sum of the two areas is be a minimum?

**math**

An electrician cuts a 26ft piece of wire into two pieces. One piece is 4ft longer than the other. How long are the pieces? What is the length of the shorter piece?__ft

**algebra**

a piece of wire that is 58cm long is cut into three pieces. the longest piece is 6cm shorter than the sum of the lengths of the other two pieces. five times the lengths of the shortest piece is 10cm less than the sum of the lengths of the other two pieces. determine the ...

**Math**

A piece of wire is bent to form a square of area 121cm. Calculate: a)the length of each side of the square. b)the perimeter of the square. The piece of wire is now bent to form a circle using π=3.14 Calculate: a)the radius of the circle b)the area of the circle

**Mathematics**

(in this question they did not give me any diagrams) use pie 22/7 (a) a piece of wire is bent to form a square of area 121cm squared Calculate the length of each side of the square. Calculate the perimeter of the square. (b) the same piece of wire was bent to form a circle. ...

**Homework**

a wire length 12 meters is cut into two parts; one part is bent to form a square, and the other is bent to form an equilateral triangle. Where the cut should be made if A. The sum of the two areas is to be a minimum? B. The sum of the two areas is to be a Maximum?

**addmath A.P.**

A wire of length 380 cm is cut into 10 pieces.Each piece is then bent to form a square.The dimensions of the first three smallest squares are shown below.Find the value of x and hence,the area of the eighth largest square. x cm[ ] (x+1)cm [ ] x cm (x+1)cm (x+2)cm[ ] (x+2)cm ...

**Calc**

A 100 inch piece of wire is divided into 2 pieces and each piece is bent into a square. How should this be done in order of minimize the sum of the areas of the 2 squares? a) express the sum of the areas of the squares in terms of the lengths of x and y of the 2 pieces b) what...

**geometry**

how many inches long is the radius of the largest circle that can fit inside a rectangle 18 inches long and 12 inches wide? An 84-cm wire is cut into three pieces. the second piece is 4 cm longer than the first piece and the third piece is twice as long as the second piece. ...

**math 090**

an electrican cuts 14 ft piece of wire into two pieces. one piece is 2 ft longer than the other. how long are the pieces?

**Calculus**

A 30-in. piece of string is cut into two pieces. One piece is used to form a circle and the other to form a square. How shouls the string be cut so that the sum of the areas is a minimum? Round to the nearest tenth, if necessary.

**physics #22**

A length of wire is bent into a closed loop and a magnet is plunged into it, inducing a voltage and,consequently, a current in the wire. A second lenghtof wire, twice as long, is bent into two loops of wire, and a magnet is similarly plunged into it. Twice the voltage is ...

**algebra**

A 33-foot-long speaker wire is to be cut into three pieces. One piece is to be 11 feet long. Of the remaining pieces, one must be 2 feet less than 3 times the length of the other. Find the length of the shorter piece

**math**

A 24-inch piece of string is cut into two pieces. One piece is used to form a circle and the other is used to form a square. How should the string be cut so that the sum of the areas is a minimum?

**math**

wire is cut into 2 pieces with one piece 14 feet shorter than other.The wire was 66 feet before cut,how long is the the shortest lenght of wire,shoe steps to solve

**Math word problem**

I know the answer, but is there a formula to show work? Amy had a piece of wire 96 inches long. She cut the wire into 3 pieces. The second piece was 6 inches longer than the first piece. The third piece is 9 inches longer than the second. What was the length of each piece of ...

**Algebra**

A wire 20 cm long is cut into two pieces. The longer piece is 4 cm longer than the shorter piece. Find the length of the shorter piece of wire

**Math**

A 26 inch ribbon is cut into three pieces. One piece is 12 inches. The remaining two pieces must have one piece two inches longer than the other. How long is the shortest piece of ribbon?

**Pre-Calc**

A wire 100 centimeters in length is cut into two separate pieces (not necessarily equal). ON epiece is bent to form a square and the other to form a circle. Let x equal the length of the wire used to form the square. a. Write the function that represents the are of the two ...

**math**

a 59 centimeter piece of rope is cut into two pieces. If one piece is x centimeters long, express the other length as an algebraic expression in x.

**Algebra**

Using two variables - A carpenter wants to cut a 24-foot board into two pieces so that one piece is 5 times as long as the other. How long should each piece be?

**math**

an electrian cuts a 22 ft piece of wire into two pieces. one oiece is 18 ft longer than the shortor piece. how long are the pieces?

**Agebra**

A 12ft. board is cut into two pieces so that one piece is 8 ft. longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces

**calculus**

A 100 inch piece of string is cut into 3 pieces. One piece forms a circle, one forms a square and 1 forms an equilateral triangle. If the perimeter of the triangle is equal in length to the perimeter of the square how long should each piece of string be to minimize the total ...

**essential mathematics**

A piece of wire 27/32 inch in length is cut into 3 pieces. how long is each piece?

**mathematics 1**

A piece of wire 27/32 inch in length is cut into 3 equal pieces. how long is each piece?

**Math**

A piece of wire 27/32 inches in length is cut into 3 equal pieces . How long is each piece 27/32 , 3/1 =81/32 =27 Is this right

**maths**

A piece of wire when bent in the form of square encloses an area of 484cm sq.now if the same wire is bent in the form of circle area enclosed by it would be

**algebra**

A wire 20 cm long is cut into two pieces. The longer piece is 4 cm longer than the shorter piece.

**algebra**

a 3 1/2 foot piece of rope is cut into two pieces. one of these pieces is 8 inches shorter than the other. how long are the pieces?

**algebra**

a cable is cut into 2 pieces. One piece is twice as long as the other piece. Find the length of each piece of cable

**algebra**

A 30ft. cable is cut into 2 pieces. One piece is twice as long as the other piece. Find th length of each piece of the cable.

**Math **

A wire 32 cm long is cut into two pieces. The longer piece is 6 cm longer than the shorter piece. What is the length of the shorter piece?

**Algebra**

A 180-m wire is cut into three pieces. The third piece is 20 m longer than the first. The second is two thirds as long as the first. How long is each piece?

**Math**

A reel of electric wire 150 metres long cut into two pieces. One is 40 metres shorter than twice the length of the other. How long is each piece.