If , AB = 4 cm, PQ = 6 cm, QR = 9 cm and RP = 12 cm, then find the perimeter of 

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 3)
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  1. 18 cm
  2. 16 cm
  3. 20 cm
  4. 22 cm

Answer (Detailed Solution Below)

Option 1 : 18 cm
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given : 

AB = 4 cm, PQ = 6 cm, QR = 9 cm and RP = 12 cm

Calculation : 

In ΔPQR ratio of sides will be 

⇒ 6 : 12 : 9 = 2 : 4 : 3

Since  

So, ratio of sides will be same.

⇒ 2 unit = 4 

⇒ 1 unit = 2

⇒ 2 × 2 : 4 × 2 : 3 × 2

⇒ 4 : 8 : 6

Perimeter of ΔABC = (4 + 8 + 6) = 18

∴ The correct answer is 18 cm.

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