Arectangular play area is 8 yards long. the expression 56 + 8x represents the area of the play area in square yards. what expression represents the width of the play area in yards? draw a picture to model the model.

The expression that represents the width of the play area  is 7 + x yards

Step-by-step 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

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step-by-step explanation: