Homework Help: Math

Posted by Usman on Wednesday, June 15, 2011 at 6:41pm.

A rectangular garden is to be fenced off and divided into 3 equal regions by fencing parallel to one side of the garden. 200 feet of fencing is used. find the dimensions of the garden that maximizes the total area enclosed. what is the maximum area?

Math - bobpursley, Wednesday, June 15, 2011 at 6:47pm
area= LxW
fencing:200=2L+2W+2L
200=4L+2W check that.

area= LW=L(100-50L)
darea/dL=(100-50L)+ L(-50)=0
-100L=-100
L=1
W=100-2L=100-2=98

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