Questions on Area of a Triangle
Multiple-choice questions for Grade 6 students involving the area of triangles. Each problem includes five alternatives (A–E). Full answers and explanations follow the questions.
Topic: Area of a Triangle
Formula: Area = (base × height) ÷ 2
✅ Questions
1. A triangular garden has a base of 10 meters and a height of 6 meters. What is its area?
A) 30 m²
B) 35 m²
C) 36 m²
D) 38 m²
E) 40 m²
2. A triangular sail has a base of 4 meters and a height of 5 meters. What is the area?
A) 8 m²
B) 9 m²
C) 10 m²
D) 11 m²
E) 12 m²
3. A triangular plot of land has a base of 12 m and a height of 8 m. What is the area?
A) 46 m²
B) 47 m²
C) 48 m²
D) 49 m²
E) 50 m²
4. A triangular signboard is 3 meters wide and 2 meters tall. What is its area?
A) 2 m²
B) 3 m²
C) 4 m²
D) 5 m²
E) 6 m²
5. A triangle has a base of 9 cm and a height of 4 cm. What is the area?
A) 16 cm²
B) 17 cm²
C) 18 cm²
D) 19 cm²
E) 20 cm²
6. A triangular cloth has a base of 2.5 m and a height of 4 m. What is the area?
A) 4 m²
B) 4.5 m²
C) 5 m²
D) 5.5 m²
E) 6 m²
7. A triangular piece of glass has a base of 7 cm and a height of 6 cm. What is the area?
A) 20 cm²
B) 21 cm²
C) 22 cm²
D) 23 cm²
E) 24 cm²
8. A triangular window has a base of 1.5 m and height of 3.2 m. What is the area?
A) 2.1 m²
B) 2.3 m²
C) 2.4 m²
D) 2.5 m²
E) 2.6 m²
9. A triangular sign has a base of 10 cm and a height of 5 cm. What is the area?
A) 20 cm²
B) 22 cm²
C) 24 cm²
D) 25 cm²
E) 26 cm²
10. A triangular pennant has base 1.2 m and height 1.5 m. What is its area?
A) 0.75 m²
B) 0.8 m²
C) 0.85 m²
D) 0.9 m²
E) 0.95 m²
11. A triangle on a poster has a base of 5 cm and height of 8 cm. What is its area?
A) 18 cm²
B) 19 cm²
C) 20 cm²
D) 21 cm²
E) 22 cm²
12. A triangular tablecloth is 3.6 meters wide at the base and 2.5 meters high. What is the area?
A) 4.2 m²
B) 4.4 m²
C) 4.5 m²
D) 4.6 m²
E) 4.8 m²
13. A triangular hill slope has a base of 25 m and a height of 10 m. What is its area?
A) 120 m²
B) 125 m²
C) 130 m²
D) 135 m²
E) 140 m²
14. A triangle has a base of 6.4 m and height 3 m. What is the area?
A) 9.2 m²
B) 9.4 m²
C) 9.6 m²
D) 9.8 m²
E) 10 m²
15. A triangular path has a base of 18 meters and height of 5 meters. What is the area?
A) 43 m²
B) 44 m²
C) 45 m²
D) 46 m²
E) 47 m²
16. A tent flap is a triangle 2.5 meters at the base and 3.2 meters tall. What is the area?
A) 3.8 m²
B) 4 m²
C) 4.1 m²
D) 4.2 m²
E) 4.3 m²
17. A triangular mat has a base of 11 cm and height of 6 cm. What is the area?
A) 30 cm²
B) 32 cm²
C) 33 cm²
D) 34 cm²
E) 36 cm²
18. A triangle on a building sign has a base of 8.2 m and height of 4 m. What is its area?
A) 16.2 m²
B) 16.4 m²
C) 16.6 m²
D) 16.8 m²
E) 17.0 m²
19. A triangular field has a base of 40 meters and height of 20 meters. What is its area?
A) 380 m²
B) 390 m²
C) 400 m²
D) 410 m²
E) 420 m²
20. A triangle has base 7.5 m and height 2.4 m. What is its area?
A) 8.6 m²
B) 8.8 m²
C) 9 m²
D) 9.2 m²
E) 9.4 m²
Answers and Explanations
1. C → (10 × 6) ÷ 2 = 60 ÷ 2 = 30 m²
2. C → (4 × 5) ÷ 2 = 20 ÷ 2 = 10 m²
3. C → (12 × 8) ÷ 2 = 96 ÷ 2 = 48 m²
4. E → (3 × 2) ÷ 2 = 6 ÷ 2 = 3 m²
5. C → (9 × 4) ÷ 2 = 36 ÷ 2 = 18 cm²
6. C → (2.5 × 4) ÷ 2 = 10 ÷ 2 = 5 m²
7. B → (7 × 6) ÷ 2 = 42 ÷ 2 = 21 cm²
8. C → (1.5 × 3.2) ÷ 2 = 4.8 ÷ 2 = 2.4 m²
9. D → (10 × 5) ÷ 2 = 50 ÷ 2 = 25 cm²
10. A → (1.2 × 1.5) ÷ 2 = 1.8 ÷ 2 = 0.9 m²
11. C → (5 × 8) ÷ 2 = 40 ÷ 2 = 20 cm²
12. C → (3.6 × 2.5) ÷ 2 = 9 ÷ 2 = 4.5 m²
13. B → (25 × 10) ÷ 2 = 250 ÷ 2 = 125 m²
14. C → (6.4 × 3) ÷ 2 = 19.2 ÷ 2 = 9.6 m²
15. C → (18 × 5) ÷ 2 = 90 ÷ 2 = 45 m²
16. C → (2.5 × 3.2) ÷ 2 = 8 ÷ 2 = 4 m²
17. C → (11 × 6) ÷ 2 = 66 ÷ 2 = 33 cm²
18. C → (8.2 × 4) ÷ 2 = 32.8 ÷ 2 = 16.4 m²
19. C → (40 × 20) ÷ 2 = 800 ÷ 2 = 400 m²
20. C → (7.5 × 2.4) ÷ 2 = 18 ÷ 2 = 9 m²
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