Problem 5 · 2024 Math Kangaroo
Easy
Geometry & Measurement
perimeter
A square has a perimeter of 32 cm. The square is cut into 4 equal strips (see diagram). What is the perimeter of one such strip?
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Answer: B — 20 cm
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Hint 1 of 2
First find the side of the square from its perimeter.
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Hint 2 of 2
A strip is a long thin rectangle: its length is the full side, its width is a quarter of the side.
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Approach: find side, then perimeter of one strip rectangle
- Perimeter 32 means each side is 32 ÷ 4 = 8 cm.
- Cut into 4 equal strips, each strip is 8 cm long and 8 ÷ 4 = 2 cm wide.
- Strip perimeter = 2 × (8 + 2) = 20 cm.
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