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August 23, 2014

August 23, 2014

Posted by **tiffany** on Thursday, June 20, 2013 at 10:03pm.

2. For what value of x is the area largest?

3. What is the maximum area?

- calculus -
**Reiny**, Thursday, June 20, 2013 at 10:31pmlet the length be x

let the width be w

but 2x + 2w = 240

x + w = 120

w = 120-x

area = xw = x(120-x)

= -x^2 + 120x

d(area)/dx = -2x + 120

= 0 for a max of area

-2x = -120

x = 60

then w = 120-60 = 60

for the max area the rectangle should be a square of 60 ft by 60 ft

for a max area of 3600 ft^2

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