Respuesta :
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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