Question

The perimeter of a rectangle is 68 ft.

Find the dimensions of the rectangle if the ratio of the length to the width is 9 : 8.

A) 24 ft by 10 ft
B) 22 ft by 12 ft
C) 20 ft by 14 ft
D) 18 ft by 16 ft

Answer 1

let the length be 9x and the width = 8x
Perimeter = 2(l + w) = 2(9x + 8x) = 2(17x) = 34x = 68
x = 68/34 = 2
9x = 9(2) = 18 ft
8x = 8(2) = 16 ft
Therefore, dimensions are 18 ft by 16ft