Problem 3 · 2022 Math Kangaroo
Medium
Geometry & Measurement
perimeter
An equilateral triangle with side length 12 has the same perimeter as a square with side length x. What is the value of x?
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Answer: A — 9
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Hint 1 of 2
Equal perimeters is the key link between the two shapes.
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Hint 2 of 2
Set the triangle's perimeter equal to the square's perimeter.
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Approach: equate perimeters
- Triangle perimeter = 3 * 12 = 36.
- Square perimeter = 4x, so 4x = 36.
- x = 9.
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