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12 September, 18:55

The length of a rectangular storage room is 3 feet more than the width. If the area of the room is 40 square feet, find the room's dimensions.

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  1. 12 September, 21:25
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    Answer:Length is 8 feet while width is 5 feet

    Step-by-step explanation:

    area (a) = Length (L) x width (w) = 40

    Width (w) + 3=Length (L)

    L x w=40

    w + 3=L

    Substitute L=w+3 in L x w=40

    (w+3) x w=40

    w^2+3w=40

    w^2+3w-40=0

    w^2+8w-5w-40=0

    w (w+8) - 5 (w+8) = 0

    (w-5) (w+8) = 0

    w-5=0 w+8=0

    w=5 w=-8

    Therefore width is 5 feet

    Substitute w=5 in L=w + 3

    L=5+3

    L=8

    Length=8 feet
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