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23 March, 02:40

The rectangle has an area of x to the second power plus 13x + 36 sq. Meters and a length of x + 9 meters. What expression represents the width of the rectangle

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  1. 23 March, 02:50
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    Answer: the expression for the width is x + 4

    Step-by-step 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
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