Respuesta :

Answer/
3(x+3) = (3x+9)

The possible dimensions for the rug are length can be 3 units and width can be (x + 3) units or length can be (x + 3) and width can be 3 units.

What is a rectangle?

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

We have:

The area of a rectangular rug is (3x + 9) square units

Area = (3x + 9) square units

The above expression is a linear polynomial.

As we know, the area of the rectangle can be defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

From the linear expression taking 3 as a common:

Area = 3(x + 3)

Length can be 3 units and width can be (x + 3) units

Or

Length can be (x + 3) and width can be 3 units

Thus, the possible dimensions for the rug are length can be 3 units and width can be (x + 3) units or length can be (x + 3) and width can be 3 units.

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