Homework Help: geometry

Posted by jonny on Sunday, September 9, 2012 at 6:50pm.

ye has 44 feet of fencing to enclose a rectangular garden. She wants to to enclose as much area as possible. use trial and error to find maximur are faye can enclose with all 44 feet of fence. name the lencth and width that gives maximum area.

geometry - Damon, Sunday, September 9, 2012 at 6:58pm
length + width = 22
w = 22-L
A = w L = (22-L)L

A = 22 L - L^2

that is a parabola, find the vertex
L^2 - 22 L = -A
L^2 - 22 L + 121 = -A+121
(L-11)^2 = -A + 121
vertex (maximum of A) at L = 11, A = 121
then w also = 11
and it is a SQUARE :)

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