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9 August, 16:10

The length of a rectangle is 8 ft less than three times the width, and the area of the rectangle is 35 ft. Find the dimensions of the rectangle.

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  1. 9 August, 19:28
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    Answer:length=7 feet Width=5 feet

    Step-by-step explanation:

    Area=35

    Length=L

    Width=L

    L+8=3 x w L=3w-8

    Area=L x w

    35=Lw

    35=w (3w-8)

    35=3w^2-8w

    3w^2-8w-35=0

    3w^2+7w-15w-35=0

    w (3w+7) - 5 (3w+7) = 0

    (w-5) (3w+7) = 0

    w-5=0 3w+7=0

    w=5 3w=-7 w=-7/3

    We are only interested in The positive answer which is width = 5 feet

    substitute w=5 in 35=L X w

    35=L x w

    35=L x 5

    L=35/5

    L=7

    Length = 7 feet
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