ATDH Quantitative Reasoning: Geometry and Measurement 2 — Questions and Answers
Question 1: What is the area of a rectangle with length 8 cm and width 5 cm?
- 13 cm²
- 26 cm²
- 40 cm² (Correct answer)
- 80 cm²
Correct answer: 40 cm²
The area of a rectangle is calculated as length × width = 8 × 5 = 40 cm².
Question 2: What is the circumference of a circle with a diameter of 10 cm? (Use π ≈ 3.14)
- 15.7 cm
- 31.4 cm (Correct answer)
- 78.5 cm
- 314 cm
Correct answer: 31.4 cm
Circumference = π × d = 3.14 × 10 = 31.4 cm.
Question 3: A triangle has a base of 12 m and a height of 7 m. What is its area?
- 19 m²
- 42 m² (Correct answer)
- 84 m²
- 168 m²
Correct answer: 42 m²
Area of a triangle = ½ × base × height = ½ × 12 × 7 = 42 m².
Question 4: What is the perimeter of a square with a side length of 9 inches?
- 18 inches
- 27 inches
- 36 inches (Correct answer)
- 81 inches
Correct answer: 36 inches
Perimeter of a square = 4 × side = 4 × 9 = 36 inches.
Question 5: The area of a circle with radius 6 cm is approximately: (Use π ≈ 3.14)
- 18.84 cm²
- 37.68 cm²
- 113.04 cm² (Correct answer)
- 226.08 cm²
Correct answer: 113.04 cm²
Area of a circle = π × r² = 3.14 × 6² = 3.14 × 36 = 113.04 cm².
Question 6: A trapezoid has parallel bases of 6 ft and 10 ft and a height of 4 ft. What is its area?
- 24 ft²
- 32 ft² (Correct answer)
- 40 ft²
- 64 ft²
Correct answer: 32 ft²
Area of a trapezoid = ½ × (b₁ + b₂) × h = ½ × (6 + 10) × 4 = ½ × 16 × 4 = 32 ft².
ATDH Quantitative Reasoning: Geometry and Measurement 2
What is the area of a rectangle with length 8 cm and width 5 cm?