Exams › SSC CGL (Prelims) › General

The area of a triangle is 25 cm². If a similar triangle has sides three times the corresponding sides of the first triangle, find its area.

1. 75 cm²
2. 150 cm²
3. 225 cm²
4. 300 cm²

Correct answer: 225 cm²

Solution

For similar triangles, the ratio of areas equals the square of the ratio of corresponding sides. Since the sides are tripled, the area becomes 3² = 9 times, so 25 × 9 = 225 cm².

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