ALEKS Geometry and Measurement 1 — Questions and Answers
Question 1: What is the area of a rectangle with length 12 cm and width 7 cm?
- 84 cm² (Correct answer)
- 38 cm²
- 76 cm²
- 19 cm²
Correct answer: 84 cm²
Area = length × width = 12 × 7 = 84 cm².
Question 2: What is the circumference of a circle with radius 5? (Use π ≈ 3.14)
- 31.4 (Correct answer)
- 78.5
- 15.7
- 25
Correct answer: 31.4
Circumference = 2πr = 2 × 3.14 × 5 = 31.4.
Question 3: Two angles are supplementary. If one angle measures 65°, what is the other?
- 115° (Correct answer)
- 25°
- 90°
- 295°
Correct answer: 115°
Supplementary angles sum to 180°, so 180° - 65° = 115°.
Question 4: A right triangle has legs of 6 and 8. What is the length of the hypotenuse?
- 10 (Correct answer)
- 14
- 12
- 7
Correct answer: 10
Using the Pythagorean theorem: √(6² + 8²) = √(36 + 64) = √100 = 10.
Question 5: What is the volume of a cube with side length 4 cm?
- 64 cm³ (Correct answer)
- 16 cm³
- 48 cm³
- 12 cm³
Correct answer: 64 cm³
Volume = side³ = 4³ = 64 cm³.
Question 6: What is the sum of interior angles of a triangle?
- 180° (Correct answer)
- 360°
- 90°
- 270°
Correct answer: 180°
The sum of the interior angles of any triangle is always 180°.
What is the area of a rectangle with length 12 cm and width 7 cm?