Problem 6 · 2014 Math Kangaroo
Easy
Geometry & Measurement
perimeter
A square with perimeter 48 cm is cut into two equal pieces with one straight cut. The pieces are put together to make a rectangle, as shown in the picture. What is the perimeter of that rectangle?
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Answer: D — 60 cm
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Hint 1 of 2
Find the side of the square first from its perimeter.
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Hint 2 of 2
Cutting the square in half and laying the pieces side by side makes a rectangle that is twice as long and half as tall.
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Approach: find the square's side, then the new rectangle's sides
- The square has perimeter 48 cm, so each side is 48 ÷ 4 = 12 cm.
- The picture shows it cut into two 12 cm by 6 cm halves laid end to end, giving a 24 cm by 6 cm rectangle.
- Its perimeter is 2 × (24 + 6) = 60 cm.
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