Answer:
The expression that represents the width of the play area is 7 + x yards
Explanation:
Given : a rectangular play area is 8 yards long. The expression 56 + 8x represents the area of the play area in square yards.
We have to find the expression that represents the width of the play area in yards.
Since, the playground is in shape of rectangle
Area of rectangle is length multiplied by width
Mathematically written as
Area of rectangle = length × width
Given : area = 56 + 8x yards
and length = 8 yards
Thus, substitute , we get
56 + 8x = 8 × width
Divide both side by 8 , we get,
7 + x = width
Thus, the expression that represents the width of the play area is 7 + x yards