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The figure shows 2 similar squares, A and B which overlap each other. The ratio of the shaded area to the total area of square B is 3:5. The ratio of the shaded area to the total area of square A is 9:17. What is the ratio of the shaded area to the total unshaded areas of the figure?

  • math -

    we have

    s/b = 3/5
    s/a = 9/17

    total unshaded area is a+b-s, and we want

    s/(a+b-s)

    we know that

    b = 5/3 s
    a = 17/9 s

    so, we have

    s/(a+b-s) = s/(5/3 s + 17/9 s - s)
    = s/(23/9 s)
    = 9/23

  • Comment -

    I still don't understand

  • math -

    9/23

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