Posted by **tanika** on Monday, December 6, 2010 at 1:39am.

suppose that you have 800ft of fencing. you are to construct a rectangular corral which is divided into two pieces. what are the dimensions that give the largest possible areas?

- math (calculus) -
**drwls**, Monday, December 6, 2010 at 3:11am
The way to divide a rectangle in two pieces using minimum fence materials is to build a third fence segment having the width dimension, W,in the middle somewhere. The rectangle length L is then given by

3W + 2L = 800, so

L = 400 - 3/2 W

Area = L*W = 400W -(3/2)W^2

dA/dW = 0 = 400 - 3W

W = 133 1/3 ft ; L = 200

gives maximum area

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