# Math

Peter has 1200 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area?

1. 👍
2. 👎
3. 👁
1. It's a square.

1. 👍
2. 👎
👤
Ms. Sue
2. So what exactly would the answer be? im confused..

1. 👍
2. 👎
3. 1200/4 = 300 yards on each side.

A = 300 * 300

A = ?

1. 👍
2. 👎
👤
Ms. Sue
4. Oh i see now! Ok thank you!

1. 👍
2. 👎
5. Finding the Absolute Area....

Area of the fence:
A=x*y

Perimeter of the fence
2x+2y=1200

Then, you solve for one variable
2x=1200-2y
x=600-y <-- plug this back into the Area function and you will get

A=(600-y)y
A=600y-y^2

And I believe you can set that equal to zero
-y^2+600y=0

Then you use the quadratic formula
b=600
a=-1
so y= -600/(2)*(-1)
y=300

That'll give you one side, then plug it back to perimeter equation to get x. Hope this is right!

1. 👍
2. 👎
6. You're welcome.

1. 👍
2. 👎
👤
Ms. Sue

## Similar Questions

1. ### Math

Eighty metres of fencing are available to enclose a rectangular area. What are the dimensions that enclose the max area. What is max area?

2. ### calculus

Sam has 1200 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. Express the area of the field as a function of its dimension. Find the dimensions of the

3. ### Math

A gardenervhas 100 meters of fencing to enclose two adjacent rectangular gardens. The gardener wants the enclosed area to be 400 sq meters. What dimensions should the gardener use to obtain this area?

4. ### Calculus 1

If you have 280 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?

1. ### Math

Diana has 520 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?

2. ### Calc 1

A farmer with 700 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?

3. ### College Algebra

A farmer wants to build a rectangular fence using the side of his barn as one side. He has 200 yards of fencing available. Find the maximum possible area he can enclose with the fence.

4. ### Algebra

A total of 800 m of fencing material is used to enclose a rectangular field and to divide the field into four portions by fences parallel to one of the sides of the field. Find the maximum area which can be enclosed in this

1. ### college algebra

Shondra wants to enclose a rectangular garnden with 240 yards of fencing. What dimensions for the garden will maximize its area?

2. ### Math

A farmer wishes to put a fence around a rectangular field and then divide the field into three rectangular plots by placing two fences parallel to one of the sides. If the farmer can afford only 1600 yards of fencing, what

3. ### Applied calculus

A rectangular plot requires 2000 m of fencing to enclose it. If one of the dimensions is x meters, express the area y (m2) as a function of x. Determine the range of x.

4. ### math

a farmer with 10,000 meters of fencing wants to enclose a rectangular field and then divide it into two plots with a fence parallel to one of the sides. What is the largest area that can be enclose?