geometry

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The diagnol of a rectangle is 20 inches. The width is 4 inches shorter than its length.

  • geometry -

    Your question, I assume, is to find the length and width of the rectangle?

    The diagonal creates 2 right triangles.

    L = length
    L - 4 = width

    By the Pythagorean theorem,
    d^2 = L^2 + (L - 4)^2
    20^2 = L^2 + (L - 4)^2

    Solve for L, the length
    width = L - 4

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