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10 March, 09:19

The area of a square is 18 sq in less than twice the area of a triangle. the base of the triangle is 3 in longer and the altitude is the same length as the side of the square

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  1. 10 March, 10:07
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    Let the side of the square = x

    So, the altitude of the triangle = x

    and it's base = x+3

    2 (area of triangle) - 18 = area of the square

    area of the triangle = (1/2) height * base

    and

    area of the square = side^2

    { (2) (1/2) (x) (x+3) } - 18 = x^2

    x^2 + 3 x - 18 = x^2

    3x - 18 = 0

    3x = 18

    x = 6

    so, the length of one side of the square = 6 units = altitude of the triangle

    and the base of the triangle = 6 + 3 = 9cm.
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