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28 February, 05:30

Brianna's rectangular garden has a length that is 3 feet longer than double the width. The area of the living room is 65 square feet. What are the dimensions of his living room?

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  1. 28 February, 05:32
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    Step-by-step explanation:

    let width=x

    length=2x+3

    area=length*width = (2x+3) * x=2x²+3x

    2x²+3x=65

    2x²+3x-65=0

    2x²+13x-10x-65=0

    x (2x+13) - 5 (2x+13) = 0

    (2x+13) (x-5) = 0

    either 2x+13=0

    2x=-13

    x=-13/2 (rejected as x≥0)

    x-5=0

    x=5

    width=5 ft

    length=65/5=13 ft
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