Conchita's Coral

• Sep 30th 2009, 02:41 PM
The D00D
Conchita's Coral
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?

• Sep 30th 2009, 03:03 PM
pickslides
Quote:

Originally Posted by The D00D
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?

the perimeter with L = length and W = width can be expressed by

$L+W+W = 200$

$L+2W = 200$

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

Now Area equals L by W

$A = L\times W$

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

now expand this and find the turning point.