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ALGEBRA

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THE LENGTH OF THE RECTANGLE EXCEEDS ITS WIDTH BY 3 CM. IF THE LENGTH AND WIDTH OF EACH INCREASED BY 2 CM, THEN THE AREA OF NEW RECTANGLE WILL BE 70 SQ. CM MORE THAN THAT OF THE GIVEN RECTANGLE. FIND THE LENGTH AND WIDTH OF THE GIVEN RECTANGLE.

  • ALGEBRA -

    L = w + 3

    (L+2)(w+2) = 70 + (L)(w)

    (w+5)(w+2) = 70 + (w+3)(w)

    w^2 + 7 w + 10 = 70 + w^2 + 3 w

    4 w - 60 = 0

    w = 15
    L = w+3 = 18

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