# math

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?

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1. 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

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2. I still don't understand

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3. 9/23

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4. It is supposed to be 9/14.

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5. It is 9/32

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6. no

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