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math/algebra

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the length of a rectangular frame is 5 cm more than the width. the area inside the frame is 66 square cm. find the width of the frame.

  • math/algebra -

    L = W + 5

    A = L * W

    ( W + 5 ) * W = 66

    W ^ 2 + 5 W = 66

    W ^ 2 + 5 W - 66 = 0

    Solutions of equation are :

    W = - 11

    and

    W = 6

    Length can't be negative so :

    W = 6 cm

    Proof:

    L = W + 5 = 6 + 5 = 11

    A = L * W = 11 * 6 = 66 cm ^ 2

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