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math 102

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The outside dimensions of a piece of framework is 24 inches by 20 inches. The area of the picture is 320 square inches. Find the width of the frame itself

  • math 102 -

    if the dimensions of the artwork are x and y, and the frame width is w,

    x+2w = 24
    y+2w = 20

    xy = 320
    (24-2w)(20-2w) = 320
    (12-w)(10-w) = 80
    120 - 22w + w^2 = 80
    w^2 - 22w + 40 = 0
    (w-2)(w-20) = 0
    w = 2 or 20

    I leave you to make the proper choice

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