Use Structure The area of a rectangular playground has been extended on one side.

The total area of the playground, in square

meters, can be written as 352 +22x.

Rewrite the expression to give a possible set

of dimensions for the playground,

The width and length of the rectangle are and , for , respectively.

Step-by-step explanation:

From Geometry, we remember that area of the rectangle () is defined by:

(1)

Where:

- Width.

- Length.

In addition, we know that area is described by a first-order polynomial:

(2)

Meaning that is the product of another first-order polynomial and a constant. That is:

 (3)

Now we determine the Great Common Divisor of 352 and 22:

The Great Common Divisor is 22.

Then, the area of the rectangle can be expressed by this expression:

(3b)

According to this, the width and length of the rectangle are and , for , respectively.

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step-by-step explanation: