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Math 12A

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A rectangular building is to be built on a lot measuring 46m by 30m. The building will be surrounded by a strip of lawn of uniform width. If the lawn takes up 30% of the lot, how wide will the lawn be?

  • Math 12A -

    length = 46 + 2w
    width = 30+2w
    building area = (46-2w)(30-2w)
    0.7 * lot area = building area
    0.7*46*30 = (46-2w)(30-2w)
    multiply it out and solve quadratic

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