Exams › SSC CGL (Prelims) › General

Two similar triangles have perimeters in the ratio 4 : 7. If the sum of their areas is 130 cm squared, find the area of the smaller triangle.

1. 16 cm squared
2. 49 cm squared
3. 32 cm squared
4. 64 cm squared

Correct answer: 32 cm squared

Solution

Perimeter ratio 4 : 7 gives area ratio 16 : 49. Total parts = 65, and total area 130 means each part = 2, so the smaller area = 16 x 2 = 32 cm squared.

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