Wednesday

September 24, 2014

September 24, 2014

Posted by **ryan** on Wednesday, September 21, 2011 at 9:32pm.

- math -
**Steve**, Thursday, September 22, 2011 at 5:11pmIf we use h and w for length and width, with length parallel to the road,

perimeter p = 2w+h = 248

Area = w*h = w(248-2w) = 248w - 2w^2

We want to maximize the area, so we take the derivative and set it to zero.

248-4w = 0

w = 62

So, h = 124

Maximum area = 62*124 = 7688 sq ft

For a given perimeter, a square has maximum area. Here, we use the road as one side, so we get to enclose two squares instead of one.

**Answer this Question**

**Related Questions**

College Cal 1 - A farmer wants to fence off a rectangular field of area 15000 ...

Calc - A farmer wishes to enclose a rectangular pen with area 100 square feet ...

Calc - A farmer wishes to enclose a rectangular pen with area 100 square feet ...

calc - A farmer wishes to enclose a rectangular pen with area 100 square feet ...

11th grade math - A farmer wants to fence in 60 000m^2 of land in a rectangular ...

Math - Jennifer plans to fence a rectangular area around her rectangular ...

Pre-Calculas 11 - a farmer wants to build two pens (one for cows, the other for ...

college Algebra - A rectangular fence is to be built along a river using the ...

Math - 1. A man has 22 feet by 26 feet rectangular lot that he will use for ...

Math - Two of the local ranchers are bragging about their ability to use fencing...