▎Area and Perimeter Multiple Choice Questions

1. What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
a) 15 cm²
b) 50 cm²
c) 25 cm²
d) 30 cm²

2. What is the perimeter of a square with a side length of 4 m?
a) 12 m
b) 16 m
c) 20 m
d) 8 m

3. A triangle has a base of 6 cm and a height of 8 cm. What is its area?
a) 24 cm²
b) 36 cm²
c) 48 cm²
d) 12 cm²

4. What is the perimeter of a rectangle with a length of 12 m and a width of 7 m?
a) 38 m
b) 24 m
c) 19 m
d) 42 m

5. What is the area of a circle with a radius of 3 cm? (Use π ≈ 3.14)
a) 9.42 cm²
b) 28.26 cm²
c) 6.28 cm²
d) 12.56 cm²

6. A parallelogram has a base of 10 cm and a height of 5 cm. What is its area?
a) 50 cm²
b) 25 cm²
c) 30 cm²
d) 15 cm²

7. What is the perimeter of a triangle with sides measuring 5 cm, 12 cm, and 13 cm?
a) 30 cm
b) 25 cm
c) 20 cm
d) 18 cm

8. What is the area of a trapezoid with bases of lengths 8 cm and 5 cm, and a height of 4 cm?
a) 26 cm²
b) 20 cm²
c) 30 cm²
d) 32 cm²

9. What is the perimeter of a regular hexagon with each side measuring 3 m?
a) 12 m
b) 15 m
c) 18 m
d) 21 m

10. What is the area of a rectangle with dimensions of length = 15 m and width = 10 m?
a) 150 m²
b) 100 m²
c) 125 m²
d) 175 m²

11. If the radius of a circle is doubled, how does the area change?
a) It remains the same
b) It doubles
c) It triples
d) It quadruples

12. What is the perimeter of a rectangle if its length is twice its width, and the width is 4 m?
a) 16 m
b) 24 m
c) 20 m
d) 12 m

13. The area of a square is 64 cm². What is the length of one side?
a) 6 cm
b) 8 cm
c) 10 cm
d) 12 cm

14. A circular garden has a diameter of 10 m. What is its circumference? (Use π ≈ 3.14)
a) 31.4 m
b) 15.7 m
c) 25.0 m
d) 20.0 m
15.What is the area of a rhombus with diagonals measuring 10 cm and 6 cm?
a) 30 cm²
b) 60 cm²
c) 40 cm²
d) 20 cm²

Answers and Explanations:

1. b) Area = Length × Width = 10 × 5 = 50 cm²

2. b) Perimeter = 4 × side length = 4 × 4 = 16 m

3. a) Area = ½ × base × height = ½ × 6 × 8 = 24 cm²

4. a) Perimeter = 2(Length + Width) = 2(12 + 7) = 38 m

5. b) Area = πr² = π(3²) = π(9) ≈ 28.26 cm²

6. a) Area = Base × Height = 10 × 5 = 50 cm²

7. a) Perimeter = Sum of all sides = 5 + 12 + 13 = 30 cm

8. a) Area = ½(Base₁ + Base₂)×Height = ½(8 + 5)×4 = 13/2×4 = 26 cm²

9. c) Perimeter = 6 × side length = 6 × 3 = 18 m

10. a) Area = Length × Width = 15 × 10 =150 m²

11. d) Area changes as A = πr². If radius doubles, area becomes π(2r)²=4πr², so it quadruples.

12. b) Length = 2 × Width =2×4=8 m; Perimeter = 2(Length + Width)=2(8 +4)=24 m

13. b) Side length = √(Area)=√(64)=8 cm

14. a) Circumference = π ×
Diameter = 3.14 ×10=31.4 m


15. a) Area = ½ × d₁ × d₂ = ½ × 10 × 6 = 30 cm²

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