BECE Geometric Shapes and Mensuration 2 — Questions and Answers
Question 1: The perimeter of a rectangle is 56 cm. If its length is 18 cm, what is its width?
- 8 cm
- 10 cm (Correct answer)
- 12 cm
- 20 cm
Correct answer: 10 cm
Perimeter = 2(l + w), so 56 = 2(18 + w), giving w = 28 − 18 = 10 cm.
Question 2: What is the area of a circle with diameter 14 cm? (Use π = 22/7)
- 154 cm² (Correct answer)
- 44 cm²
- 308 cm²
- 616 cm²
Correct answer: 154 cm²
Radius = 7 cm; Area = πr² = (22/7) × 49 = 154 cm².
Question 3: A square has an area of 64 cm². What is its perimeter?
- 16 cm
- 32 cm (Correct answer)
- 8 cm
- 24 cm
Correct answer: 32 cm
Side = √64 = 8 cm; Perimeter = 4 × 8 = 32 cm.
Question 4: What is the area of a trapezoid with parallel sides 10 cm and 6 cm, and a perpendicular height of 4 cm?
- 32 cm² (Correct answer)
- 40 cm²
- 24 cm²
- 16 cm²
Correct answer: 32 cm²
Area = ½(a + b)h = ½(10 + 6) × 4 = ½ × 16 × 4 = 32 cm².
Question 5: A parallelogram has a base of 12 cm and a height of 5 cm. What is its area?
- 34 cm²
- 60 cm² (Correct answer)
- 30 cm²
- 17 cm²
Correct answer: 60 cm²
Area of a parallelogram = base × height = 12 × 5 = 60 cm².
Question 6: The circumference of a circle is 44 cm. What is its radius? (Use π = 22/7)
- 7 cm (Correct answer)
- 14 cm
- 3.5 cm
- 21 cm
Correct answer: 7 cm
C = 2πr → 44 = 2 × (22/7) × r → r = 44 × 7 / 44 = 7 cm.
Question 7: A triangle has a base of 10 cm and a height of 8 cm. What is its area?
- 80 cm²
- 18 cm²
- 40 cm² (Correct answer)
- 20 cm²
Correct answer: 40 cm²
Area = ½ × base × height = ½ × 10 × 8 = 40 cm².
BECE Geometric Shapes and Mensuration 2
The perimeter of a rectangle is 56 cm.
If its length is 18 cm, what is its width?