Question

A building in a city has a rectangular base. The length of the base measures 75 ft less than three times the width. The

perimeter of this base is 810 ft. What are the dimensions of the base?
ed
The width of the base is
ft.

Answer 1

length = 285 ft

width = 120 ft

Explanation:

Let the width = w.

length = 3w - 75

perimeter = 2(length + width)

810 = 2(3w - 75 + w)

405 = 4w - 75

480 = 4w

120 = w

w = 120

length = 3w - 75 = 3(120) - 75 = 285