Conchita's building a coral for her horse. She has 200 ft of fencing. She also has a canyon wall which is aslong as you want. What is the maxmium area of the encloser?

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- Sep 30th 2009, 02:41 PM #1

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- Sep 30th 2009, 03:03 PM #2
the perimeter with L = length and W = width can be expressed by

$\displaystyle L+W+W = 200$

$\displaystyle L+2W = 200$

Putting L in terms of W we get $\displaystyle L = 200-2W$

Now Area equals L by W

$\displaystyle A = L\times W $

$\displaystyle A = (200-2W)\times W $

now expand this and find the turning point.