probability---overlaps of squares

[Guest]

Inside a square E there are 2 smaller squares A and B , both with length of sides being 1/2 of that of E and parallel with E . Both A and B can move freely inside E , but must keep parallel with E. If a point is chosen randomly on E , find the probability that the point lies within A and B at the same time.

mr.wong

[Guest]

1/9

You can solve it in a similar way as the triangle question in your previous post.

I'll leave you to work out the details, since these sound like homework questions.

Hope this helped,

R. Baber.

[Guest]

Thanks again R.Baber ,

In fact I also got this result , I just hope to confirm
its validity through your opinion . Though it looks like a
homework question , but not so much people can solve
it correctly , especially for those not familiar in multiple
integration like me .

mr.wong