Question

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

Answer 1

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`