Question

The perimeter of a rectangle is 90 ft. The ratio of its length to its width is 8 : 7. What are the dimensions of the rectangle? A. 30 ft by 15 ft B. 26 ft by 19 ft C. 24 ft by 21 ft D. 20 ft by 25 ft

Answer 1

Length = 8x
Width = 7x
Perimeter = 2*length + 2*width
90ft = 2*8x + 2*7x
90 ft = 16x + 14x
90ft = 30x
30x = 90ft
x = 3ft
Length = 3*8 = 24ft
Width = 3*7 = 21ft.

Thus your Answer is C: