Problem 5 · 2015 Math Kangaroo
Easy
Geometry & Measurement
areagrid-counting
Each square in the shape has an area of 4 cm². How long is the thick line?
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Answer: B — 18 cm
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Hint 1 of 2
First turn the area of one small square into the length of its side.
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Hint 2 of 2
The thick line runs along square edges, so count how many edge-lengths it covers and multiply by the side length.
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Approach: find one side length, then count the edges the line follows
- Each small square has area 4 cm², so its side is √4 = 2 cm.
- The thick line follows 9 of these square edges along the grid.
- Its length is 9 × 2 = 18 cm.
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