What is the ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if XY is similar to AC?

BY=3, YC=2

the ratio of area is proportional to the square of the sides

which would be 3^2/2^2 = 9/4
or as a ratio 9 : 4

i don't seem to understand the concept

Area1/Area2 = (side1)^2/(side2)^2

so 4/9 ?

yes, I had 9/4 since you gave your sides as 3 and 2

Obviously the bigger area goes with the bigger side.

I am sure you can now do the others that are similar to this

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