A rectangular goat pen has an area of 220 square meters. Its perimeter is 62 meters. What are the dimensions of the pen?

Answer 1

A = LW = 220

P = 2(L+W) = 62

L+W = 31

L= 31-W

LW=220 = (31-W)W = 31W -W^2

W^2 -31W + 220 = 0

(W-11)(W-20) = 0

W = 11 or 20

L = 20 or 11

Length is usually considered longer than width so conclude that Length =20 and Width = 11