SSC CHSL Mensuration Questions
8 questions on Mensuration for SSC CHSL, including questions from 2024 and 2023 papers. Each comes with the correct answer and a worked explanation.
- Questions
- 8
- Easy
- 5
- Moderate
- 3
Mensuration questions with solutions
The perimeter of a square is 28 cm. What is its area?
- (A)64 cm²
- (B)98 cm²
- (C)56 cm²
- (D)49 cm²
Show answer and explanation
Correct answer: (D) 49 cm²
Each side of the square = perimeter ÷ 4 = 28 ÷ 4 = 7 cm. Area of a square = side² = 7 × 7 = 49 cm².
Shortcut: Area = (perimeter/4)².
The perimeter of a square is 64 cm. What is its area?
- (A)272 cm²
- (B)512 cm²
- (C)128 cm²
- (D)256 cm²
Show answer and explanation
Correct answer: (D) 256 cm²
Each side of the square = perimeter ÷ 4 = 64 ÷ 4 = 16 cm. Area of a square = side² = 16 × 16 = 256 cm².
Shortcut: Area = (perimeter/4)².
The circumference of a circle is 220 cm. What is its area? (Take π = 22/7)
- (A)1225 cm²
- (B)3850 cm²
- (C)7700 cm²
- (D)1925 cm²
Show answer and explanation
Correct answer: (B) 3850 cm²
Circumference = 2πr = 220, so r = 220 × 7 ÷ (2 × 22) = 35 cm. Area = πr² = 22/7 × 35 × 35 = 3850 cm².
Shortcut: With π = 22/7, a circumference of 44k gives radius 7k and area 154k².
The perimeter of a square is 36 cm. What is its area?
- (A)72 cm²
- (B)81 cm²
- (C)162 cm²
- (D)90 cm²
Show answer and explanation
Correct answer: (B) 81 cm²
Each side of the square = perimeter ÷ 4 = 36 ÷ 4 = 9 cm. Area of a square = side² = 9 × 9 = 81 cm².
Shortcut: Area = (perimeter/4)².
The perimeter of a square is 76 cm. What is its area?
- (A)722 cm²
- (B)76 cm²
- (C)400 cm²
- (D)361 cm²
Show answer and explanation
Correct answer: (D) 361 cm²
Each side of the square = perimeter ÷ 4 = 76 ÷ 4 = 19 cm. Area of a square = side² = 19 × 19 = 361 cm².
Shortcut: Area = (perimeter/4)².
The circumference of a circle is 264 cm. What is its area? (Take π = 22/7)
- (A)2772 cm²
- (B)1764 cm²
- (C)5544 cm²
- (D)11088 cm²
Show answer and explanation
Correct answer: (C) 5544 cm²
Circumference = 2πr = 264, so r = 264 × 7 ÷ (2 × 22) = 42 cm. Area = πr² = 22/7 × 42 × 42 = 5544 cm².
Shortcut: With π = 22/7, a circumference of 44k gives radius 7k and area 154k².
The perimeter of a square is 24 cm. What is its area?
- (A)72 cm²
- (B)24 cm²
- (C)42 cm²
- (D)36 cm²
Show answer and explanation
Correct answer: (D) 36 cm²
Each side of the square = perimeter ÷ 4 = 24 ÷ 4 = 6 cm. Area of a square = side² = 6 × 6 = 36 cm².
Shortcut: Area = (perimeter/4)².
The circumference of a circle is 176 cm. What is its area? (Take π = 22/7)
- (A)2552 cm²
- (B)784 cm²
- (C)4928 cm²
- (D)2464 cm²
Show answer and explanation
Correct answer: (D) 2464 cm²
Circumference = 2πr = 176, so r = 176 × 7 ÷ (2 × 22) = 28 cm. Area = πr² = 22/7 × 28 × 28 = 2464 cm².
Shortcut: With π = 22/7, a circumference of 44k gives radius 7k and area 154k².
Frequently asked questions
How many SSC CHSL Mensuration questions can I practise here?
8 questions — 5 easy and 3 moderate. 8 are shown on this page with answers and explanations, and the practice set draws from all of them.
How should I practise Mensuration for SSC CHSL?
Read through a few solved questions first to see the method, then take a timed practice set. Afterwards, check which questions you got wrong or spent longest on and redo those before moving on.