Question

mike must build a rectangular storage shed, he wants the length to be 6ft greater than the width, and the perimeter will be 44ft. find the length and with of the shed?

Answer 1

Let L = length
Let W = width
he wants the length to be 6ft greater than the width: L = W + 6
Perimeter = P = L + L + W + W = 2L + 2W

2L + 2W = 44, but L = W + 6, so
2(W + 6) + 2W = 44
2W + 12 + 2W = 44
4W + 12 = 44
4W = 32
W = 8
L = W + 6 = 14