Question

The area of a rectangle is 1,872 ft2. The ratio of the length to the width is 9:13. Find the perimeter of the rectangle. A. 88 ft B. 117 ft C. 168 ft D. 176 ft

Answer 1

Length = 36

Width = 52

Explanation:

Area of rectangle = Length * width

Length = L ; Width = W

Area (A) = 1872 ft²

Ratio L:W = 9:13

Hence,

1872 = lw - - - (1)

l/w = 9/13 - - - (2)

From (2)

13l = 9w

l = (9/13)w - - (3)

Put (3) into (1)

1872 = (9/13)w * w

1872 = 9/13 w²

24336 = 9w²

24336 / 9 = w²

2704 = w²

w = 52

If w = 52

1872 = 52 * l

l = 1872 / 52

l = 36

Length = 36

Width = 52