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Math Help - Just another question

  1. #1
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    Just another question

    A floor measures 12m by 8m. A rug covers one-third of the floor. The uncovered part of the floor forms a uniform (same width) strip around the rug. How wide is the strip?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by zbest View Post
    A floor measures 12m by 8m. A rug covers one-third of the floor. The uncovered part of the floor forms a uniform (same width) strip around the rug. How wide is the strip?
    Let x be the width of the strip around the rug.

    Note that the area of the floor is 12 \mbox { m} \times 8 \mbox { m } = 96 \mbox { m}^2

    If the rug covers 1/3 of the floor, it must have an area of \frac {1}{3} 96 \mbox { m } = 32 \mbox { m}^2

    Since x is the width of the strip:

    The length of the rug is (12 - 2x) and the width is (8 - 2x), and the area (found above) is 32

    so we must have:

    (12 - 2x)(8 - 2x) = 32

    can you take it from here?
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  3. #3
    MHF Contributor red_dog's Avatar
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    Here is a sketch for the solution of Jhevon.
    Attached Thumbnails Attached Thumbnails Just another question-rectangle.jpg  
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by red_dog View Post
    Here is a sketch for the solution of Jhevon.
    what did you use to draw that, red_dog?
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  5. #5
    MHF Contributor red_dog's Avatar
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    I used Draw Tools from Word, then I imported to Irfanview and save it as an image.
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