Class 9 Maths Chapter 6 MCQs with Answers – Measuring Space: Perimeter and Area

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Practise these 15 Class 9 Maths Chapter 6 MCQs with answers to revise important concepts related to perimeter and area. Test your knowledge of geometrical shapes, measurement formulas, and calculations with four-option multiple-choice questions.

Try to solve all 15 questions before checking the answer key and explanations at the end.

How to practise: Read each question carefully, select one correct option, and then check your answers.

15 MCQs for Class 9 Maths Chapter 6 – Measuring Space: Perimeter and Area

Question 1. What is the perimeter of a square with side length 6 cm?

A. 12 cm

B. 18 cm

C. 24 cm

D. 36 cm

Question 2. What is the area of a square with side length 8 cm?

A. 16 cm²

B. 32 cm²

C. 64 cm²

D. 48 cm²

Question 3. A rectangle has length 12 cm and breadth 5 cm. What is its perimeter?

A. 17 cm

B. 34 cm

C. 60 cm

D. 30 cm

Question 4. What is the area of a rectangle with length 9 cm and breadth 4 cm?

A. 13 cm²

B. 26 cm²

C. 36 cm²

D. 72 cm²

Question 5. The side of a square is doubled. How does its perimeter change?

A. It becomes half.

B. It doubles.

C. It becomes four times as large.

D. It remains unchanged.

Question 6. The side of a square is 7 cm. What is its area?

A. 14 cm²

B. 28 cm²

C. 49 cm²

D. 21 cm²

Question 7. A rectangle has a perimeter of 40 cm and a length of 12 cm. What is its breadth?

A. 6 cm

B. 8 cm

C. 10 cm

D. 16 cm

Question 8. What is the area of a triangle with base 10 cm and height 6 cm?

A. 60 cm²

B. 30 cm²

C. 16 cm²

D. 40 cm²

Question 9. What is the circumference of a circle with radius 7 cm? Use π = 22/7.

A. 22 cm

B. 44 cm

C. 154 cm

D. 49 cm

Question 10. What is the area of a circle with radius 7 cm? Use π = 22/7.

A. 44 cm²

B. 77 cm²

C. 154 cm²

D. 308 cm²

Question 11. A rectangle is 15 cm long and 8 cm wide. What is its area?

A. 23 cm²

B. 46 cm²

C. 120 cm²

D. 240 cm²

Question 12. What is the perimeter of an equilateral triangle with side length 9 cm?

A. 18 cm

B. 27 cm

C. 36 cm

D. 81 cm

Question 13. A parallelogram has base 12 cm and perpendicular height 5 cm. What is its area?

A. 17 cm²

B. 30 cm²

C. 60 cm²

D. 120 cm²

Question 14. A square has perimeter 36 cm. What is the length of one side?

A. 6 cm

B. 8 cm

C. 9 cm

D. 12 cm

Question 15. If the radius of a circle is doubled, what happens to its area?

A. It doubles.

B. It triples.

C. It becomes four times as large.

D. It becomes eight times as large.

Answer Key with Explanations – Class 9 Maths Chapter 6

Question 1 — Correct Answer: C. 24 cm

Perimeter of a square = 4 × side = 4 × 6 = 24 cm.

Question 2 — Correct Answer: C. 64 cm²

Area of a square = side × side = 8 × 8 = 64 cm².

Question 3 — Correct Answer: B. 34 cm

Perimeter of a rectangle = 2 × (length + breadth) = 2 × (12 + 5) = 34 cm.

Question 4 — Correct Answer: C. 36 cm²

Area = length × breadth = 9 × 4 = 36 cm².

Question 5 — Correct Answer: B. It doubles.

Perimeter of a square = 4 × side. Doubling the side doubles the perimeter.

Question 6 — Correct Answer: C. 49 cm²

Area = 7 × 7 = 49 cm².

Question 7 — Correct Answer: B. 8 cm

40 = 2 × (12 + breadth). Therefore, 20 = 12 + breadth, so breadth = 8 cm.

Question 8 — Correct Answer: B. 30 cm²

Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 cm².

Question 9 — Correct Answer: B. 44 cm

Circumference = 2πr = 2 × 22/7 × 7 = 44 cm.

Question 10 — Correct Answer: C. 154 cm²

Area = πr² = 22/7 × 7 × 7 = 154 cm².

Question 11 — Correct Answer: C. 120 cm²

Area = length × breadth = 15 × 8 = 120 cm².

Question 12 — Correct Answer: B. 27 cm

Perimeter of an equilateral triangle = 3 × side = 3 × 9 = 27 cm.

Question 13 — Correct Answer: C. 60 cm²

Area of a parallelogram = base × perpendicular height = 12 × 5 = 60 cm².

Question 14 — Correct Answer: C. 9 cm

Side of square = perimeter ÷ 4 = 36 ÷ 4 = 9 cm.

Question 15 — Correct Answer: C. It becomes four times as large.

Area of a circle = πr². If the radius becomes 2r, the new area is π(2r)² = 4πr², which is four times the original area.

Quick Revision

  • Square perimeter: 4 × side
  • Square area: side²
  • Rectangle perimeter: 2 × (length + breadth)
  • Rectangle area: length × breadth
  • Triangle area: ½ × base × perpendicular height
  • Circle circumference: 2πr
  • Circle area: πr²
  • Parallelogram area: base × perpendicular height

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