Jelanis family is putting a fence around their yard. They need 106 feet of fencing. The length of the yard is 5x+8. Find the length of the yard

Question

asked Mar 24, 2020 35.8k views

1 Answer

Mochi · Answer 1 · 2020-03-30T17:51:27+0000

Answer:

The length of the yard is
$48\ ft$

Explanation:

see the attached figure to better understand the problem

we know that

The perimeter of the yard required to be fenced is equal to

$P=(5x+8)+2(3x-1)+2(x-2)\\P=13x+2$

$P=106\ ft$

so

106=13x+2

solve for x

13x=106-2

13x=104

$x=104/13=8\ ft$

Find the length of the yard

$5x+8=5(8)+8=48\ ft$