Question

Sanchez has a garage on his property. He recently purchased a tractor and cannot fit in his garage. To store is new purcahse, he deices to attach a three-sided fence to one of the walls of his garage in order to save material. If Sanchez has 60 meters of fencing and wants a 400 m^2 area, what will the dimensions of the rectangular fenced area?

Answer 1

each of the two equal sides ---- x
the single side ------- y

given: 2x + y = 60
y = 60-2x

area = xy = x(60-2x)

x(60-2x) = 400

expand, and solve the quadratic