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

Respuesta :

Answer:

The length of the yard is [tex]48\ ft[/tex]

Step-by-step 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

[tex]P=(5x+8)+2(3x-1)+2(x-2)\\P=13x+2[/tex]

[tex]P=106\ ft[/tex]

so

[tex]106=13x+2[/tex]

solve for x

[tex]13x=106-2[/tex]

[tex]13x=104[/tex]

[tex]x=104/13=8\ ft[/tex]

Find the length of the yard

[tex]5x+8=5(8)+8=48\ ft[/tex]

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