Question

The perimeter of a rectangle is 96 ft. The ratio of its length to its width is 7 : 5. What are the dimensions of the rectangle?. . A.. 30 ft by 18 ft. . B.. 28 ft by 20 ft. . C.. 24 ft by 24 ft. . D.. 22 ft by 26 ft

Answer 1

96/2 = 48
if 48 is divided into 12 parts, then each part has 4 units
4 units each into 7:5 is
B.. 28 ft by 20 ft

Answer 2

Let L and W be the lengths and width, respectively. With the given ratio of the dimensions, lengths may also be equal to 7W/5. The equation for the perimeter is,
P = 2L + 2W
Substituting the values,
96 = 2 x (7W/5 + W)
The value of W is 20. Therefore, the dimensions are 20 ft x 28 ft. The answer is letter B.