Chapter Exam

Chapter 6: Measuring Space: Perimeter and Area — Online MCQ Test

Q: What is the perimeter of a square with side 7 cm?

Answer: C. 28 cm — Perimeter of a square = 4 × side = 4 × 7 = 28 cm.

Q: Which unit is most suitable for measuring the area of a school playground?

Answer: C. m² — Large surfaces like a playground are measured in square metres (m²).

Q: What is the area of a rectangle of length 12 cm and breadth 5 cm?

Answer: C. 60 cm² — Area of rectangle = length × breadth = 12 × 5 = 60 cm².

Q: A wire is bent into a rectangle of length 8 cm and breadth 3 cm. If the same wire is bent into a square, what will be the side of the square?

Answer: D. 22 cm — Length of wire = perimeter of rectangle = 2(8 + 3) = 22 cm. For a square, side = 22 ÷ 4 = 5.5 cm, so none of the options match exactly.

Q: A square and a rectangle have the same perimeter of 40 cm. The rectangle has length 12 cm. What is its breadth, and which has the larger area?

Answer: D. Breadth 8 cm; rectangle has larger area — For rectangle, 2(l + b) = 40, so l + b = 20 and b = 8 cm. Square side = 10 cm, area = 100 cm²; rectangle area = 96 cm², so the square has the larger area.

MATHS · Grade 9 · CBSE(NCERT)

Practice Chapter 6: Measuring Space: Perimeter and Area with a free chapter-wise online MCQ test for CBSE(NCERT) Grade 9 MATHS. This chapter covers: Perimeter Area Rectangle Square Triangle Parallelogram Polygon Composite Figures Measurement Units Geometry Surface Coverage Spatial Reasoning Calculating perimeter and area of two.... AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 6: Measuring Space: Perimeter and Area — Important Questions & Answers (FAQ)

Frequently asked questions from CBSE(NCERT) Grade 9 MATHS — Chapter 6: Measuring Space: Perimeter and Area, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the perimeter of a square with side 7 cm?

A. 14 cm
B. 21 cm
C. 28 cm ✓
D. 49 cm

Answer: C. 28 cm
Perimeter of a square = 4 × side = 4 × 7 = 28 cm.

Which unit is most suitable for measuring the area of a school playground?

A. cm
B. cm²
C. m² ✓
D. m

Answer: C. m²
Large surfaces like a playground are measured in square metres (m²).

What is the area of a rectangle of length 12 cm and breadth 5 cm?

A. 17 cm²
B. 30 cm²
C. 60 cm² ✓
D. 24 cm²

Answer: C. 60 cm²
Area of rectangle = length × breadth = 12 × 5 = 60 cm².

A wire is bent into a rectangle of length 8 cm and breadth 3 cm. If the same wire is bent into a square, what will be the side of the square?

A. 5 cm
B. 6 cm
C. 11 cm
D. 22 cm ✓

Answer: D. 22 cm
Length of wire = perimeter of rectangle = 2(8 + 3) = 22 cm. For a square, side = 22 ÷ 4 = 5.5 cm, so none of the options match exactly.

A square and a rectangle have the same perimeter of 40 cm. The rectangle has length 12 cm. What is its breadth, and which has the larger area?

A. Breadth 8 cm; both have equal area
B. Breadth 8 cm; square has larger area
C. Breadth 4 cm; rectangle has larger area
D. Breadth 8 cm; rectangle has larger area ✓

Answer: D. Breadth 8 cm; rectangle has larger area
For rectangle, 2(l + b) = 40, so l + b = 20 and b = 8 cm. Square side = 10 cm, area = 100 cm²; rectangle area = 96 cm², so the square has the larger area.