SOLUTION: A rectangular animal pen with area 1200 ft.² has one side along a barn the other three sides are enclosed by hundred feet of fencing find the dimensions of the pen.

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Hi,

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L + 2w = 100ft   0r L = 100-2w

.......

A = Lw

(100-2w)w = 1200 ft^2

2w^2 - 100w + 1200 = 0

w^2 - 50w + 600 = 0  

(w - 30)(w-20)= 0

w = 30  and L = 40 

0r

w = 20 and L = 60