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

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 3)
View all SSC CGL Papers >
  1. 18 cm
  2. 16 cm
  3. 20 cm
  4. 22 cm

Answer (Detailed Solution Below)

Option 1 : 18 cm
super-pass-live
Free
SSC CGL Tier 1 2025 Full Test - 01
3.5 Lakh Users
100 Questions 200 Marks 60 Mins

Detailed Solution

Download Solution PDF

Given : 

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

Calculation : 

F1 Other Arbaz  30-10-23 D18

In ΔPQR ratio of sides will be 

⇒ 6 : 12 : 9 = 2 : 4 : 3

Since ABCPQR 

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.

Latest SSC CGL Updates

Last updated on Jul 19, 2025

-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.

-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.

->  Aspirants should visit the official website @ssc.gov.in 2025 regularly for CGL Exam updates and latest announcements.

-> Candidates had filled out the SSC CGL Application Form from 9 June to 5 July, 2025. Now, 20 lakh+ candidates will be writing the SSC CGL 2025 Exam on the scheduled exam date. Download SSC Calendar 2025-25!

-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.

-> Candidates can refer to the CGL Syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline, with the age limit varying from post to post. 

-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

More Geometry Questions

Get Free Access Now
Hot Links: teen patti circle teen patti casino teen patti gold download apk