Perimeter and Area

Short Answer Questions(SAQs)

What is value of pi?

The value of π (pi) is approximately 3.14159. It represents the ratio of the circumference to the diameter of a circle, i.e., cd.

What is meant by area of a substance?

The area of a substance is the measure of space occupied by a 2D shape or surface. It is expressed in square units.

What is the purpose of Unit conversion?

Unit conversion helps express a physical quantity in different measurement units such as meters to centimeters or hours to seconds. It ensures consistency and accuracy in calculations.

MCQs

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

(a) 12 cm

(b) 24 cm

(c) 36 cm

(d) 18 cm

► (b) Perimeter of a square = 4 × side = 4 × 6 = 24 cm.

2. What is the area of a rectangle with length 8 cm and breadth 3 cm?

(a) 11 cm²

(b) 24 cm²

(c) 22 cm²

(d) 12 cm²

► (b) Area = length × breadth = 8 × 3 = 24 cm².

3. The formula for the area of a triangle is:

(a) 12 × base × height

(b) base + height

(c) base × height

(d) base − height

► (a) Area of triangle = 12 × base × height.

4. The area of a square with side 10 m is:

(a) 10 m²

(b) 40 m²

(c) 100 m²

(d) 20 m²

► (c) Area of square = side² = 10 × 10 = 100 m².

5. The circumference of a circle is given by:

(a) 2πr

(b) πr²

(c) πd

(d) Both (a) and (c)

► (d) Both (a) and (c) are correct: 2πr and πd are both formulas for circumference.

6. The area of a circle is:

(a) 2πr

(b) πr²

(c) πd

(d) None of these

► (b) Area of circle = πr².

7. Convert 1.5 m² to cm²:

(a) 150 cm²

(b) 1500 cm²

(c) 15000 cm²

(d) 150000 cm²

► (d) 1.5 m² = 1.5 × 10000 = 15000 cm².

8. Which of the following has no area?

(a) Line

(b) Square

(c) Triangle

(d) Circle

► (a) A line has length but no area.

9. What is the perimeter of an equilateral triangle with side 7 cm?

(a) 14 cm

(b) 21 cm

(c) 28 cm

(d) 35 cm

► (b) Perimeter = 3 × side = 3 × 7 = 21 cm.

10. Area is measured in:

(a) cm

(b) m

(c) cm²

(d) m³

► (c) Area is always expressed in square units like cm² or m².

11. Which shape’s area is 12 × diagonal₁ × diagonal₂?

(a) Square

(b) Trapezium

(c) Rhombus

(d) Triangle

► (c) Area of rhombus = 12 × d₁ × d₂.

12. Unit for perimeter is:

(a) cm²

(b) m²

(c) m³

(d) m

► (d) Perimeter is a length and is measured in units like m, cm, etc.

13. Area of trapezium is:

(a) 12 × (sum of parallel sides) × height

(b) base × height

(c) side × side

(d) None of these

► (a) Area of trapezium = 12 × (a + b) × h.

14. What is the perimeter of a rectangle with l = 4 cm, b = 6 cm?

(a) 20 cm

(b) 24 cm

(c) 16 cm

(d) 10 cm

► (a) Perimeter = 2(l + b) = 2(4 + 6) = 20 cm.

15. Which of these units is used for both area and perimeter?

(a) cm

(b) m

(c) mm

(d) None

► (d) Area and perimeter use different units: area (cm²), perimeter (cm).

16. Area of a parallelogram is:

(a) base × height

(b) 12 × base × height

(c) side²

(d) None

► (a) Area = base × height for a parallelogram.

17. Area of triangle with base = 12 cm and height = 6 cm is:

(a) 36 cm²

(b) 72 cm²

(c) 18 cm²

(d) 24 cm²

► (a) Area = 12 × 12 × 6 = 36 cm².

18. Which is true?

(a) All circles have the same area

(b) A square has more area than a circle

(c) Two shapes can have same area but different perimeter

(d) Perimeter always equals area

► (c) Two shapes can have the same area but different perimeters.