



 
Hi Confuzzled. There are probably quite a few ways of doing it. I start with a sketch:
1. Let A be the area of the outer square. Then its side length is what? 2. Then the radius of the circle (in green) is what? 3. Using Pythagorus on the isoceles right triangle, what is the length of the blue line? 4. That makes the side length of the inner square what? 5. So the area of the inner square is? 6. And if you divide that by A, you get the fraction of the bigger square that is also in the smaller square.
Math Central also has a big list of other math activities and contests offered across Canada, either nationally or in specific parts of the country. These are often free to interested students and everyone is encouraged to check them out. Stephen La Rocque.>
PS: After I did that diagram, I noticed an even easier way of solving it.
What portion of each quarter of the big square is also in the inner blue square?
(Boy, a whole lot easier, isn't it? Sometimes we don't see the easiest way first.)
Stephen La Rocque.>
 


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