Question

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?

Answer 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

Answer 2

I still don't understand

Answer 3

9/23

Answer 4

It is supposed to be 9/14.

Answer 5

It is 9/32

Answer 6

no