Question

The length of C. D. Akers rectangular garden is 37 feet shorter than six times the width. If the perimeter of

his garden is 164 feet, what are the dimensions of Mr. Akers' garden?

Answer 1

17 feet by 65 feet

Explanation:

If w represents the width of the garden, then 6w-37 is the length. The perimeter of a rectangle is twice the sum of length and width, so the perimeter is ...

164 = 2(w +(6w -37)) = 14w -74

238 = 14w

238/14 = w = 17

__

6w-37 = 6·17 -37 = 65

The width of the garden is 17 feet; the length is 65 feet.