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Framed
Seven small rectangular pictures have one inch wide frames. The frames are removed and the pictures are fitted together like a jigsaw to make a rectangle of length 12 inches. Find the dimensions of the pictures.
Tilted Squares
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Four or Five
The diagram shows a large rectangle composed of 9 smaller rectangles. If each of these rectangles has integer sides, what could the area of the large rectangle be?
Age 11 to 14 Short
Challenge Level
The seven pieces in this $12 \; \text{cm} \times 12 \; \text{cm}$ square make a Tangram set. What is the area of the shaded parallelogram?
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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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.