Question

The perimeter of a rectangular garden is 36 1/2 feet. One side of the garden is 9 feet long. What is the area, in square feet, of the garden?

Group of answer choices

81 1/4

83 1/4

85 1/2

85 9/16

Answer 1

83 1/4 sq ft

Explanation:

let x = length or width of two identical unknown sides

2(9) + 2x = 36 1/2

18 + 2x = 36 1/2

2x = 18 1/2

x = 37/2 ÷ 2 = 37/4 or 9 1/4

therefore, multiply 9 by 9 1/4

Area is: 9/1 x 37/4 = 333/4 = 83 1/4