Question

Mr. Reed is drawing a blueprint of a rectangular patio. The width of the patio is 40 3/4 feet shorter than twice its length. The perimeter of the patio is 86 1/2 feet. What is the length of the patio?

Answer 1

length = 28 feet

Explanation:

let length = x

width = 2x - 40 3/4

= 2x - 163/4

= 2x - 40.75

perimeter of a rectangle = 2(l+w)

according to the question:

86 1/2 = 2(l+w)

86.5 = 2(x + 2x - 40.75)

86.5 = 2(3x - 40.75)

86.5 = 6x - 81.5

86.5 + 81.5 = 6x

thus, x = 28