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Math Help - nucleur waste

  1. #1
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    nucleur waste

    A rectangular nuclear waste holding facility is 100 m long and 70 m wide. A safety zone of a uniform strip of more then 20 m in width must be constructed around the facility. Determine the width of the strip of land to the nearest metre, if the area of the facility and the strip is 90000 m^2?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by andrewpark2 View Post
    A rectangular nuclear waste holding facility is 100 m long and 70 m wide. A safety zone of a uniform strip of more then 20 m in width must be constructed around the facility. Determine the width of the strip of land to the nearest metre, if the area of the facility and the strip is 90000 m^2?
    let the width of the strip be x

    then the new length of the facility and strip is (100 + 2x)
    the new width is (70 + 2x)

    we want the area to be 90000, thus we want

    (100 + 2x)(70 + 2x) = 90000

    now solve for x
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