Question

Michael must build a rectangular storage shed. He wants the length to be 2.5 ft less than twice the width.

The perimeter will be 40.6 ft. Find the length and the width of the shed.

Answer 1

Width = 7.6 ft.

Length = 12.7 ft.

Explanation:

Perimeter of a rectangle (P) = 2L + 2W

where

P = 40.6 ft.

L = 2W-2.5

plugin values into the formula:

40.6 = 2(2W-2.5) + 2W

40.6 = 4W - 5 + 2W

40.6 + 5 = 6W

W = 45.6 / 6

W = 7.6 ft.

L = 2W-2.5

L = 2(7.6) - 2.5

L = 12.7 ft.

proof:

P = 2(12.7) + 2(7.6)

P = 40.6 ft.