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Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

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Square Areas

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

Weekly Problem 40 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

What is the area of this quadrilateral, in cm$^2$?



If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
 

This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution