Find the Maximum area for the given perimeter of a rectangle. State the length and width of the rectangle. 28 inches Well, finally a calculus problem. Ok, we know that the area for a rectangle is A=l*w and the perimeter

138,324 results
  1. Calculus

    A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the domain of P. (Assume the length of the rectangle is larger than its width. Enter your answer using interval notation.)

  2. maths

    the length of a rectangle is 4 times than its width. the area of the rectangle is 1024cm2 find the length of the rectangle the perimeter of the rectangle 4 square has the same perieter as that its rectangle. Find the area of the square.

  3. Calculus

    A rectangle is bounded by the x-axis and the semicircle y=ã(25-x^2). Question is, what length and width should the rectangle have so that its area is a maximum, and what is the maxuimum area? Area= length*width = 2x*y= 2x*sqrt(25-x^2) Now, take that,

  4. Math 2

    The rectangle below has an area of 30k^3+6k^2 The width of the rectangle (in meters) is equal to the greatest common monomial factor of 30k^3 and 6k^2 What is the width and length of the rectangle? Width:6k^2 Length: I couldn't find the length I need to be

  5. Math

    A rectangle has the length of 5x and the width of 5x-4. Find the perimeter and the area of this rectangle.

  6. Mathematics

    The length of a rectangle is four times its width. If the perimeter of the rectangle is 80yd, find its area.

  7. Math

    The length of a rectangle is 5 inches less than 3 times the width. The perimeter of the rectangle is 14 inches. Find the length and width of the rectangle. I did this: Length 3x-5; width 3x Then I did guess and check and came up with X=2 solving the

  8. Math

    The sides of the rectangle are in the ratio of 4:7. If its length is 31.5 in., find the width, the perimeter, and the area of this rectangle.

  9. Math

    The perimeter of a rectangle is 34 feet and the area measures 60 square feet. What are the length and width of the rectangle? (Hint: Use the equations : perimeter = times the sum of the length and the width area = length times width)

  10. Math

    If the length of a rectangle is (2x-1)cm and its width is (x+3)cm. How do i write an expression in the form ax^2+bx+c for the area of the rectangle? Given that the area of the rectangle is 294cm^2, determine the value of x and state the dimensions of the

  11. geometry

    The width of a rectangle is 6 cm less than its length. If the area of the rectangle is 135 square cm, find the dimensions. Then find the perimeter of the rectangle.

  12. Math asap

    2.David wants to build a pen for his goat. He wants the area of the pen to be 48 square feet. If the length and width of the pen are whole numbers, which of the following could be the perimeter of the pen? A.P = 26 ft B.P = 28 ft C.P = 30 ft D.P = 36 ft

  13. Math

    The length of a rectangle is twice its width if the area of the rectangle is 200 m squared, find its perimeter.

  14. math

    the area of a certain rectangle is 288 yd squared. the perimeter is 68 yards. double the length and width what will be the area and perimeter of the new rectangle

  15. math

    The length of a rectangle is 7 cm longer than its width. If the perimeter of the rectangle is 74cm, find the length and the area of the rectangle.

  16. Math

    The length of a rectangle is three times its width. If the perimeter of the rectangle is 48cm,find its area.

  17. Algebra

    The length of a rectangle is six times its width. If the perimeter of the rectangle is 140ft, find its area.

  18. Algebra

    The rectangle shown has a perimeter of 118 cm and the given area. Its length is 4 more than four times its width. Write and solve a system of equations to find the dimensions of the rectangle. (rectangle has an area of 528 cm^2) The length of the rectangle

  19. math

    the length of a rectangle is 5 ft more than twice the width. a)if x represents the width of the rctangle, represent the perimeter of the rectangle in terms of x. b) if the perimeter if the rectangle is 2 ft more than eight times the width of the rectangle,

  20. math

    the length of a rectangle is 2 less than 3 times the width. the perimeter is 20 cm. find the length, width, and area of the rectangle. i got stuck after L=3W-2 but i'm not sure what to do after.

  21. Math

    The first question is this: Helen designs a rectangle with an area of 225 square units. Her rectangle is the largest rectangle (that is, with largest area) with whole-number side lengths that can be made from the perimeter of the rectangle. A. Whay are the

  22. calculus- PLEASE HELP!!

    a rectangle PQRS with the length v-cm and the width z-cm and its perimeter 88cm. the rectangle is axis of symmetry and parallel to RS to generate cylinder. find the maximum value of its volume

  23. Math

    The variable W represents the width of a rectangle. The length of the rectangle, L, is 5 less than twice the width. Write an expression for the length of the rectangle in terms of W. Write a simplified expression for the perimeter of the rectangle in terms

  24. Algebra

    The length of a rectangle is three times its width. If the area of the rectangle is 300cm, find its perimeter.

  25. Algebra I

    The expression 2(l+w) may be used to find the perimeter of a rectangle. What are the length and width of a rectangle if the area is 13 1/2 square units and the length of one side is 1/5 the measure of the perimeter?

  26. Algebra

    The length of a rectangle is 4 ft longer than it’s width. If the perimeter of the rectangle is 48 ft, find it’s area

  27. Math

    A norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the dimensions of a Norman window with maximum area if the total perimeter is 16 feet. X = the width of the rectangle. Y = the length of the

  28. Mathematics-please help quick!!

    The lenght of a rectangle is 10cm greater than its width. The perimeter of the rectangle is 1m. A.Find the simplest expression for the perimeter for the rectangle if the width is x.B. Find the width of the rectangle. C. Calculate the area of the rectangle.

  29. math

    a rectangle is twice as long as it is wide. if both of its dimensions are increased by 4m, its area is increased by 88m^2 find the dimensions of the original rectangle Original rectangle = w for width and 2w for length. Area = w x 2w Larger rectangle = w+4

  30. math

    find the ratio of the length of the blue rectangle, to the length of the green rectangle, repeat this for width, perimeter and area

  31. geometry

    The length of a rectangle is 4 times its width. If the perimeter of the rectangle is 70 ft., find the area.

  32. Algebra

    The length of a rectangle is 5 in longer than it's width. If the perimeter of the rectangle is 50 in find it's area

  33. math

    the length of a rectangle is 5cm longer than its width and its area is 66cm square. find the perimeter of the rectangle

  34. Algebra Homework, HELP!

    1) A rectangle has an area of 297 square inches and a width which is three inches less than four times the length. Find the length and the width of the rectangle. 2) Let x represent the length of the shorter leg in a right triangle. If the longer leg is 1

  35. math

    The length of a rectangle is 2 times its width and its perimeter is 42 cm. A ssquare is formed by putting together 2 rectangles like this. Find the length and width of the edge and the area of this square. "A ssquare is formed by putting together 2

  36. Algebra

    The length of a rectangle is three times its width. If the area of the rectangle is 108 yd^2, find its perimeter.

  37. math

    The length of a rectangle is 4 in longer than its width. If the perimeter of the rectangle is 48 in, find its area.

  38. math

    the length of a rectangle is 1 cm less than twice its width. the area is 28 cm squared. find the dimensions of the rectangle. Just translate the English into "math" "the length of a rectangle is 1 cm less than twice its width" l=2w-1 "the area is 28"

  39. maths

    the length of a rectangle is 3 less than 5 times its width. Write a simpified algebriac expression for the perimeter of a rectangle. If the rectangle width is tripled and its length is doubled,the perimeter of new rectangle is 92cm greater than the

  40. geometric

    The perimeter of a rectangular carpet is 70feet. The with is three -fourths the length .Find the width. 38. The length of a rectagular room is six times as the width . The perimeter 84 yards. find the width. 39. The width of a rectangle is 12 less than the

  41. coordinate algebra

    The area of a rectangle is found by multiplying the length by the width: A = lw. A certain rectangle has an area of x2 + 7x + 12. Factor the trinomial to find the length and width of the rectangle. In the form of a paragraph, describe the process necessary

  42. Math

    The sides of a rectangle are in the ratio of 4:5. If the width is 28 in., find the length, the perimeter, and the area of this rectangle.

  43. Math

    the perimeter and area of a rectangle are 48 cm and 140cm^2 respectively. Find the length and width of the rectangle

  44. Math

    Use the blue and green rectangles. a. Find the ratio of the length of the blue rectangle to the length of the green rectangle. Repeat this for width, perimeter, and area. Blue Length : Green Length = ft : ft = 1 : 2 Blue Width : Green Width = ft : ft = :

  45. Math

    Find the Maximum area for the given perimeter of a rectangle. State the length and width of the rectangle. 28 inches Well, finally a calculus problem. Ok, we know that the area for a rectangle is A=l*w and the perimeter is P=2(l+w) In this problem P= 28,

  46. Mathematics-please help quick!!

    The lenght of a rectangle is 10cm greater than its width. The perimeter of the rectangle is 1m. A.Find the simplest expression for the perimeter for the rectangle if the width is x.B. Find the width of the rectangle. C. Calculate the area of the rectangle.

  47. math

    the perimeter of rectangle y is equal to its area. rectangle z has the same perimeter as rectangle y. The length of rectangle z is 5 inches and the width is 3 inches. Explain how you can find the length and width of rectangle y.

  48. Math check please

    2 rectangles have equal areas determine the area of each rectangle then use this info to determine the perimeter. rectangle one: length of 2p + 3 width of 3.8 after my work i got p= 1.5 so the area is 14.4 and the perimeter is 19.6 is it correct? rectangle

  49. area, perimeter

    the perimeter of rectangle y is equal to its area. rectangle z has the same perimeter as rectangle y. the length of rectangle z is 5 inches and the width is 3 inches. explain how you can find the length and eidth of rectangle y.

  50. basic geometric

    10. a rectangle has width the same as a side of a square whose perimeter is 20m. the length of the rectangle is 9m. find the perimeter of this rectangle. 34. The width of a rectangular picture is one-half the length. The perimeter of the rectangle is 72

  51. math

    Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50 inches. The formula for the perimeter of a rectangle is P=2L+2W. a) Set up an equation for the perimeter involving only L, the length of

  52. Maths

    The area of a rectangle of width ycm is 140cm^2. If the width is reduced by 2cm, the length increases by 3cm, and the area decreases to 136cm^2 to form an equation that enables you to determine the value of Y and hence, find the diagonal of the original

  53. math

    The length of a rectangle is 6x feet and its width is 3x feet. The area of the rectangle is 420 - 6x square feet. What is the perimeter of the rectangle, in feet? Hint: Create a true equation using the fact that LW = Area. Solve the equation for x by

  54. Math

    Determine the perimeter and area of a rectangle that has a width of 6 inches and a length of 8 inches. Using a ratio of 1:2, draw a similar rectangle that is double the width and length of the first shape. Determine the perimeter and area of this new

  55. College Algebra

    Suppose that the length of a rectangle is 3 inches longer than the width and that the perimeter of the rectangle is 78. Set up an equation involving only L, the length of the rectangle. Solve this equation algebraically to find the length of the rectangle.

  56. algebra

    What is the width of a rectangle with a perimeter of 70 feet if its length is 1 foot? 2 feet? L.feet? perimeter = 2(length + width) If perimeter = 70 then 35= length + width Now substitute 1,2,and L and solve for width. how do you find the L. feet? L is

  57. math

    Solve each system of equations by graphing. Check each solution. The perimeter of a rectangle is 24 ft. Its length is five times its width. Let x be the length and y be the width. What is the area of the rectangle?

  58. calc

    1.A norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window find the dimensions of a Norman window of maximum area when the total permeter is 16ft. 2. A rectangle is bounded by the x axis and the semicircle

  59. algebra

    The length of a rectangle is four times its width. If the area of the rectangle is 392 yd, find the perimeter

  60. math

    The length of a rectangle is four times its width. If the perimeter of the rectangle is 50cm. find its area. how do i set this up?

  61. Algebra 1

    The perimeter of a rectangle equals the sum of the lengths of its four sides. If the width of a rectangle is 4 inches and its perimeter is 36 inches, find the length of the rectangle. The length of the rectangle is ? My answer was 144, is this correct?

  62. Math

    The area of a certain rectangle is 288 yd2 the perimeter is 68 yd. if you double the length and the width what will be the area and perimeter of a new rectangle?

  63. Maths

    A rectangle has legth & width in the ratio of 3:2.If the length is increased by 8 & width is increased by 50%.The ratio of new perimeter to origial perimeter is 8:5.Find the area of new rectangle.

  64. algebra

    Perimeter of a rectangle. The width of a rectangle is three fourths of the length. The perimeter of the rectangle becomes 50 cm when the length and the width are each increased by 2 cm. Find the length and the width.

  65. basic geometry

    A rectangle has width the same asa a side of a square whose perimeter is 20m.the length of the rectangle is 9m. Find the perimeter of this rectangle. 34. The with of a rectangular picture is on-half the length . The perimeter of the rectangle is 72inches.

  66. Math

    The area of a rectangle is shown below The area of the rectangle is 56 Which of the following are possible values for the length and width of the rectangle? A.length=6cm and width=9cm B.length=7cm and width=8cm C.length=14cm and width=14cm D.Length=28cm

  67. math,help

    help Probblem #6 solve by multiplying through with the common denominator (11)/(3)x + (1)/(6) = (8)/(3)x + (19)/(6) Problem #20 the perimeter of a rectangle is to be no greater than 300in. and the length must be 125in. write an inequality representing the

  68. algebra

    1. What must be added to p to produce q? 2. What is the perimeter of the rectangle if the length is 2x-3y and the width is x+2y? What is the area? 3. What must be subtracted to 7y to leave -5y+2z? 1. q = 1 - p 2. Perimeter of rectangle = 2 length + 2

  69. Algebra

    If the trend continued, in how many years would the median home value be $170,000? Show how obtained your answer using the linear equation you found in part c) Suppose that the width of a rectangle is three feet shorter than length and that the perimeter

  70. math

    The length of a rectangle is 5 in. more than twice its width.? How do I find the width of the rectangle. The length = (2 x width) + 5 inches. Do you have any other information about the rectangle such as the area or the perimeter. I don't think there is

  71. math

    The width of the rectangle is half its length and the perimeter is 42m.caculate the area of the rectangle.find the width and length of perimeter and area.

  72. writing to explain

    The perimeter of rectangle Y is equal to its area. Rectangle Z has the same perimeter as rectangle Y. The length of rectangle Z is 5 inches an the width is 3 inches. Explain how you can find the length and width of rectangle Y.

  73. math ,correction

    Directions: Solve each of the following problems. Be sure to show the equation used for the solution. The length of a rectangle is 2in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle. Let L =

  74. Math check my answers

    I posted this before can someone please check my answers and help me thanks:) 2 rectangles have equal areas determine the area of each rectangle then use this info to determine the perimeter. rectangle one: length of 2p + 3 width of 3.8 after my work i got

  75. math117

    The area of a rectangle of length x is given by 3x2 +5x. Find the width of the rectangle. The area of a rectangle with width t is given by 33t - t 2. Factor the expression and determine the length of the rectangle in terms of t length times width=area, so

  76. algebra

    The width of a rectangle is three fourths the length. The perimeter of the rectangle becomes 50 cm when the length and the width are each increased by 2cm. Find the length and the width. Draw a diagram and convince yourself that the perimeter P=2(L+W)

  77. math b

    the function for the perimeter of a rectangle is given as P=4x+6 a) Give an expression for the length of the rectangle in terms of the width. b) If the width is half the length, state a function for both the width and length describing the domain for which

  78. math

    the function for the perimeter of a rectangle is given as P=4x+6 a) Give an expression for the length of the rectangle in terms of the width. b) If the width is half the length, state a function for both the width and length describing the domain for which

  79. math

    the lenght of a rectangle is one meter more more than two-thirds of the width. Find the length, width and area of the rectangle if the perimeter is 6 meters.

  80. College Algrebra Math 133 unti 1 IP 1

    Suppose the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 80 inches. The formula for the perimeter of a rectangle is P=2L + 2W. Set up an equation for the perimeter involving only the L the length of

  81. algebra help please

    The area of a rectangle of length x is given by 3x^2+5x find the width of the rectangle a=l*w =x*(3x+5) I stoped here I am not sure if I am correct i was taken the 3x+5 as the width and x as the length but i am not sure if the 3x+5 should be the area and

  82. area

    The width of a rectangle is 1/3 as long as its length. If the difference between the perimeter of the rectangle and its length is 60 cm, find the area of the rectangle.

  83. MATH0098

    The perimeter of a rectangle is 58yd , and the area of the rectangle is 54yd . Find the dimensions of the rectangle. Length: Width:

  84. math

    The perimeter of a rectangle is to be no greater than 300 in., and the length must be 125 in. Find the maximum width of the rectangle.

  85. algebra

    The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times the perimeter. Find the length and width of the rectangle.

  86. math

    Recognize that rectangles that have the same area can have different perimenters. Do rectangles with the same area necessarily have the same perimeter?Give an example to support your answer. How I would handle this is to first look at the formula.

  87. Algebra 1

    Okay one last one that I've spent all night truing to figue out. 2. The width of a rectangle is 6 cm longer than its length. Its perimeter is more than 36 cm. Let l equal the length of the rectangle. a. for the width in terms of the length. W= l + 6=

  88. Math

    The perimeter of rectangle Z is equal to its area.Rectangle Y has the same perimeter as rectangle Z.The length of rectangle Y is 5 inches and width of rectangle Z.

  89. math

    I'm in grade 5 and I need help on an area and perimeter question. The area of a rectangle is 300mm and the length of it is 15 mm. I need to find out the width of this rectangle.

  90. Pre algebra

    The width of a triangle is x-3 and the length is 2x-1. Write and solve an equation to find the perimeter and area of the rectangle if the measures of its length and width are in a 1:3 proportion

  91. math

    The length of a rectangle is twice the width. If the length is increased by 6, and the width is doubled, a new rectangle is formed whose perimeter is 20 more than the perimeter of the original rectangle. Find the dimensions of the original rectangle.

  92. Optimization, Calculus

    A rectangle is topped by an equilateral triangle, the sides of which are equal to the width of the rectangle. Find the maximum area of the window if the perimeter is 500 cm.

  93. MATH

    the area of a certain rectangle is 288yd squared. the perimeter is 68yd. if you double the length and width,what will be the area and perimeter of the new rectangle?

  94. Math

    The width of a rectangle is two thirds its length the width of the rectangle is 10 inches what is the perimeter of the rectangle and what is the area of the rectangle

  95. math/algebra

    1) The length of one of the equal legs of an isisceles triangle is 8cm less than 4 time the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs. a) 4 cm B) 5 cm C) 11 cm d) 12 cm 2) The perimeter of a rectangle is to be

  96. algebra

    A rectangle has a length that is 2 less than 3 times the width. If the area of this rectangle is 16, find the dimensions and the perimeter.

  97. Rectangle

    The length and width of a rectangle are integer.if the area is larger than its perimeter by 9 find the perimeter???

  98. algebra

    sooo confusing... 6. (¼ + 7/8)(9/13) A81/13 B17/104 C81/104 D17/29 E17/13 F17/25 7. [6(2+1) -6(1+1)] / [6(4-2) - 22 ] A3/2 B3/4 C3/5 D3 E1/3 F2/3 8. -3(y – 5) - (-2y + 1) A-y +14 B5y - 4 C-5y + 14 D-13y E-5y -6 F-y – 4 For problems 9 – 15 let a = 2,

  99. pre calc

    The length of a rectangle is three times its width. If the area of the rectangle is 45 ayrds squared , find its perimeter.

  100. math

    The lengths of the sides of a rectangle are in a ratio of 4:7. If the length is 31.5 in., find the width, perimeter and area of this rectangle.

Pages

  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. 6
  7. 7
  8. 8
  9. 9
  10. 10
  11. 11
  12. 12
  13. 13
  14. 14
  15. 15
  16. 16
  17. 17
  18. 18
  19. 19
  20. 20