math word problems

A room is a square with integer dimensions. it is made 3 feet wider and 2 feet deeper. the increase in area is 46 square feed. What were the dimensions of the old room?

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asked by Liz
  1. original: x by x
    area = x^2

    new dimensions: (x+3) and (x+2)
    new area = (x+3)(x+2) = x^2 + 5x + 6

    x^2 + 5x + 6 - x^2 = 46
    5x = 40
    x = 8

    original was 8 by 8

    check:
    old area = 64

    new is 11 by 10
    new area = 110
    change in area = 110-64 = 46 , yeahh!

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    posted by Reiny

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