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# Square Areas

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Age 11 to 14

Challenge Level

The outer square has sides of length 1.

Can you work out the area of the inner square and give an explanation of how you did it?

Two circles are enclosed by a rectangle 12 units by x units. The distance between the centres of the two circles is x/3 units. How big is x?

Follow the instructions and you can take a rectangle, cut it into 4 pieces, discard two small triangles, put together the remaining two pieces and end up with a rectangle the same size. Try it!