Algebra

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A rectangular counter top is 16 inches longer than it is wide. If the area of the counter top is 420 square inches, find the length and the width.

  • Algebra -

    width --- x
    length --- x+16

    solve
    x(x+16) = 420

    (it factors quite nicely)

  • Algebra -

    Width = W inches
    Length = W + 16 inches.
    W(W + 16) = 420
    W^2 + 16W - 420 = 0

    Use Quadratic Formula:
    w = (-16+ / - sqrt(256 + 1680))/2 =
    (-16 +- 44)/2 = 14 and -30. use W = 14
    = Width.
    W +16 = 14 + 16 = 30 in. = Length.

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