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 86 1/2 feet what is the length of the patio?

Answer 1

Answer:

Length of rectangular patio = 28 feet

Step-by-step explanation:

Given that:

Length of rectangular patio = x

Width of rectangular patio = $2x-40\frac{3}{4}$

Perimeter of rectangular patio = $86\frac{1}{2}$

Perimeter of rectangular patio = 2 (length + width )

Putting values in the formula

$86\frac{1}{2}=2(x+2x-40\frac{3}{4})\\\\\frac{173}{2}=2(3x-\frac{163}{4})\\\\\frac{173}{2}=2(\frac{12x-163}{4})\\\\\frac{173}{2}=\frac{12x-163}{2}\\\\173 = 12x-163\\12x = 173 + 163 \\12x = 336$

Dividing both sides by 12

$\frac{12x}{12}=\frac{336}{12}\\x=28$

Hence,

Length of rectangular patio = 28 feet