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28 July, 07:46

The perimeter of a bedroom is 88 feet. The ratio of the width to the length is 5:6. What are the dimensions of the bedroom?

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  1. 28 July, 10:20
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    20 feet wide, 24 feet long

    Step-by-step explanation:

    Let x - width, y - length.

    The perimeter is given by the formula:

    P = 2 * (width + length) or using x, y

    P = 2 * (x + y) = 88

    x + y = 44

    And we know that the ratio between the sides is 5/6:

    x/y = 5/6. x is on top because the length is bigger than the width

    x = 5y/6

    Plug this in the first expression:

    y + 5y/6 = 44. Muliply by 6

    6y + 5y = 264

    11y = 264

    y = 264/11 = 24.

    So x = 5 (24) / 6 = 20
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