Answer: the expression for the width is x + 4
Explanation:
The area of the rectangle is expressed as
Area = x² + 13x + 36 square meters.
The length is expressed as
L = x + 9 meters
To determine the expression for the width of the rectangle, we would factorize the expression for the area. Hence
x² + 13x + 36 = 0
We would find two numbers such that their sum or difference is 13x and their product is 36x². The two numbers are 9x and 4x. Therefore,
x² + 9x + 4x + 36 = 0
x(x + 9) + 4(x + 9) = 0
(x + 4)(x + 9)
Therefore, the expression that represents the width of the rectangle is x + 4