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math

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can u please help me with this math problem. i don't get how to do this question.
Mrs. Mabie has a rectangle swimming pool that measures 25 feet by 14 feet. She wants to have a cement walkway installed around the perimeter of the pool. The combined area of the pool and walkway will be 672 square feet. What will be the width of the walkway?

  • math - ,

    let the width of the walkway be x ft
    dimensions of the whole thing = (25+2x) by (14+2x)

    (25+2x)(14+2x) = 672
    350 + 78x + 4x^2 - 672=0
    4x^2 + 78x - 322 = 0
    x = (-78 ± √11236)/8
    = 3.5 or a negative

    the width should be 3.5 ft

    check:
    length = 25+7 = 32
    width = 14 + 7 = 21

    32 x 21 = 672

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