Answer:
Width = 86 feet
Step-by-step explanation:
Create two equations with the info:
L = 27 + W
where L represents the length and W the width of the backyard.
The other one is about the area of the rectangular backyard:
Area = L x W
where you replace the area with 9718 and the length (L) with (27 + W):
and solve for W using the quadratic equation:
This gives us two solutions:
W = - 113
and W = 86
We use the positive solution since this is a distance.
Therefore the width is: 86 feet
