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12 November, 03:01

The floor of a shed given on the right has an area of 55 square feet. The floor is in the shape of a rectangle whose length is 1foot less than twice the width. Find the length and the width of the floor of the shed.

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  1. 12 November, 04:09
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    The answer to your question is: l = 10 ft; w = 11/2 ft

    Step-by-step explanation:

    Data

    Area = 55 ft²

    length = l

    width = w

    l = 2w - 1

    Process

    Area = l x w

    Area = (2w - 1) w

    Area = 2w² - w

    2w² - w - 55 = 0 Solve the quadratic equation

    2w² + 10w - 11w - 55 = 0

    2w (w + 5) - 11 (w + 5) = 0

    (w + 5) (2w - 11) = 0

    w1 = - 5 w2 = 11/2 There is not negative width, so the answer is 11/2 ft

    l = 2 (11/2) - 1

    l = 11 - 1

    l = 10 ft

    Area = (10) (11/2) = 110 / 2 = 55 ft²
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