# Algebra

a farmer wants to build a rectangular garden with a river as one side.what is the area of the biggest garden that he can fence with 220 meters of fencing materials?

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1. 110*55 = ?

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2. L=LENGHT W=WIDTH

L+2w=220
L=220-2W

LW=AREA

A=W(L)
A=W(220-2W)
A=-2W^2- 2W^2
A=-2(W^2-110W+55^2-55^2)
A=-2(W-55)^2+6050

W=55

L=220-55-55
=110

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