A building in a city has a rectangular base. The length of the base measures 70 ft less than twice the width.

Question

The perimeter of this base is 880 ft. what are the dimensions of the base?

Answer 1

Let L = length and W = width

Then 2(L + W) = perimeter = 880

L = 2W - 70

Divide the first equation by 2 and substitute: 

(2W - 70) + W = 440

3W = 510

W = 170 and L = 270