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Math

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A rectangle is 6 cm long and 5 cm wide. When each dimension is increased by x cm, the area is tripled. Find the value of x.

  • Math - ,

    (6+x)(5+x) = 3*(6*5)
    x^2 + 11x + 30 = 90
    x^2 + 11x - 60 = 0
    (x+15)(x-4) = 0
    x = 4 -- we like positive dimensions

    check: (6+4)(5+4) = 90 = 3*30

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