GED Mathematical Reasoning Geometry and Measurement 4 — Questions and Answers
Question 1: A square has a perimeter of 36 meters. What is the area of the square?
- 81 sq m (Correct answer)
- 9 sq m
- 144 sq m
- 18 sq m
Correct answer: 81 sq m
Each side = 36 ÷ 4 = 9 m; Area = 9² = 81 square meters.
Question 2: In a right triangle, the two legs measure 6 ft and 8 ft. What is the length of the hypotenuse?
- 10 ft (Correct answer)
- 14 ft
- 7 ft
- 100 ft
Correct answer: 10 ft
By the Pythagorean theorem: c = √(6² + 8²) = √(36 + 64) = √100 = 10 ft.
Question 3: Which of the following best describes a parallelogram?
- A quadrilateral with two pairs of parallel sides (Correct answer)
- A quadrilateral with four equal angles
- A triangle with two equal sides
- A polygon with five sides
Correct answer: A quadrilateral with two pairs of parallel sides
A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel.
Question 4: A trapezoid has parallel bases of 5 cm and 9 cm, and a height of 4 cm. What is its area?
- 28 cm² (Correct answer)
- 45 cm²
- 56 cm²
- 14 cm²
Correct answer: 28 cm²
Area = ½ × (b₁ + b₂) × h = ½ × (5 + 9) × 4 = ½ × 14 × 4 = 28 cm².
Question 5: An angle measures 145°. What type of angle is it?
- Obtuse (Correct answer)
- Acute
- Right
- Reflex
Correct answer: Obtuse
An obtuse angle measures greater than 90° and less than 180°.
Question 6: How many degrees are in the sum of the interior angles of any triangle?
- 180° (Correct answer)
- 360°
- 90°
- 270°
Correct answer: 180°
The interior angles of any triangle always sum to exactly 180°.
Question 7: A scale drawing uses a scale of 1 inch = 5 feet. If a wall is 3.5 inches on the drawing, how long is the actual wall?
- 17.5 feet (Correct answer)
- 8.5 feet
- 35 feet
- 1.4 feet
Correct answer: 17.5 feet
Actual length = 3.5 × 5 = 17.5 feet.
GED Mathematical Reasoning Geometry and Measurement 4
A square has a perimeter of 36 meters.
What is the area of the square?