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SSC CHSL 2023 · PYQ · Geometry · medium

△PQR is similar to △UVW. Perimeter of △PQR and △UVW are 120 cm and 240 cm respectively. If PQ = 30 cm, then what is the length of UV?

Answer

The correct answer is D: 60 cm. The ratio of perimeters equals the ratio of corresponding sides: 120:240 = 1:2. So UV = 2 × PQ = 2 × 30 = 60 cm.

  1. A.75 cm
  2. B.45 cm
  3. C.90 cm
  4. D.60 cm✓ Correct

Explanation

The ratio of perimeters equals the ratio of corresponding sides: 120:240 = 1:2. So UV = 2 × PQ = 2 × 30 = 60 cm.
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