Question

Jelani's family is putting up a fence around their yard shown in the diagram below. They don't need to fence the wall of the house that is against the 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:

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`