Problem 2 · 2015 Math Kangaroo
Easy
Geometry & Measurement
spatial-reasoning
A rectangle is made of 4 equally sized small rectangles. The shorter side of the big rectangle is 10 cm long. How long is the longer side of the big rectangle?
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Answer: B — 20 cm
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Hint 1 of 2
Look at how the four equal small rectangles are arranged along the short and long sides.
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Hint 2 of 2
Two small rectangles stack to make the 10 cm short side; that fixes one small rectangle, then build the long side.
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Approach: use the arrangement of the four equal pieces
- The short side of the big rectangle is split into two equal small rectangles, so each small rectangle is 10 by 5.
- The long side is made of two small-rectangle long edges placed end to end.
- So the long side is 10 + 10 = 20.
- The longer side is 20 cm.
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