George built a rectangular pen for his rabbit such that the length is 2 ft less than twice the width. If the perimeter is 182ft, what are the dimensions of the pen?

Answer 1

L=2W -2

182 = 2L+2W = 2(2W-2) + 2W = 4W -4 +2W = 6W -4

6W = 182+4 = 186

W = 186/6 = 31 feet

L = 2(31) -2 = 60 feet