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The square ABCD has an area of 196. It contains two overlapping squares; the larger of these squares has an area 4 times that of the smaller and the area of their overlap is 1.
What is the total area of the shaded regions?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Four Square
Age 11 to 14
ShortChallenge Level 
The square ABCD has an area of 196. It contains two overlapping squares; the larger of these squares has an area 4 times that of the smaller and the area of their overlap is 1.
What is the total area of the shaded regions?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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