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March 25, 2017

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A square and four congruent rectangles are arranged in a larger square. The smaller square and each of the rectangles have the same perimeter.Determine the ratio of the length of a side of the larger square to the length of side of the smaller square.

  • Math - ,

    Let A is the length of a side of the larger square, a - of the smaller square.
    The length of the smaller side of
    a rectangle is (A-a)/2, the length of
    the bigger side is (A-a)/2+a.
    4a=2((A-a)/2+(A-a)/2+a)
    4a=2A
    A/a=2/1

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