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An equilateral triangle and a square have the same perimeter. What is the side length of the square?
(1) Each side of the triangle is 8.
(2) The perimeter of the square is 24.
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Correct answer
D
We want the square's side s.
Statement (1): each triangle side is 8, so the triangle's perimeter is 3 × 8 = 24, and the square shares this perimeter, so 4s = 24 and s = 6. Sufficient.
Statement (2): the square's perimeter is 24, so 4s = 24 and s = 6. Sufficient.
The (C) lure thinks the equal-perimeter relation and the square's perimeter must be combined, but each alone gives s = 6. Each statement alone is sufficient.
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