Exams › SSC CGL (Prelims) › General

The sides of a triangular metal sheet are in the ratio 3 : 4 : 5, and its perimeter is 36 m. Determine the area of the triangle.

1. 108 m²
2. 72 m²
3. 48 m²
4. 54 m²

Correct answer: 54 m²

Solution

The ratio parts total 12, so each part is 36/12 = 3 m, giving sides 9, 12 and 15 m. Since 9² + 12² = 15², it is right-angled, so area = (1/2)(9)(12) = 54 m².

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