Math

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the length of a rectangular garden exceeds its width by 8 feet. if each side of the garden is increased by 2 feet, the area of the garden will be increased by 60 square feet. find the dimensions of the original garden

  • Math -

    original:
    width -- x
    length -- x+8
    area = x(x+8)

    new width = x+2
    new length = x+10
    new area = (x+2)(x+10)

    (x+2)(x+10) - x(x+8) = 60
    x^2 + 12x + 20 - x^2 - 8x = 60
    2x = 40
    x = 10

    original garden is 10 ft by 18 ft

    check:
    original area = 10(18) = 180

    new area = 12(20) = 240
    increase in area = 240-180 = 60
    all looks good.

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