PERT Geometry & Measurement Skills 2 — Questions and Answers
Question 1: A rectangular garden is 12 ft long and 5 ft wide. What is the length of the diagonal across the garden?
- 13 ft (Correct answer)
- 17 ft
- 11 ft
- 15 ft
Correct answer: 13 ft
By the Pythagorean theorem, √(12² + 5²) = √169 = 13 ft.
Question 2: What is the area of a triangle with a base of 10 cm and a height of 6 cm?
- 30 cm² (Correct answer)
- 60 cm²
- 16 cm²
- 32 cm²
Correct answer: 30 cm²
Area = ½ × base × height = ½ × 10 × 6 = 30 cm².
Question 3: A circle has a radius of 7 in. Using π ≈ 22/7, what is its circumference?
- 44 in (Correct answer)
- 22 in
- 49 in
- 14 in
Correct answer: 44 in
Circumference = 2πr = 2 × (22/7) × 7 = 44 in.
Question 4: Two angles are complementary. If one angle measures 35°, what is the measure of the other?
- 55° (Correct answer)
- 145°
- 65°
- 45°
Correct answer: 55°
Complementary angles sum to 90°, so 90° − 35° = 55°.
Question 5: What is the volume of a rectangular box that is 4 ft by 3 ft by 2 ft?
- 24 ft³ (Correct answer)
- 9 ft³
- 26 ft³
- 12 ft³
Correct answer: 24 ft³
Volume = length × width × height = 4 × 3 × 2 = 24 ft³.
Question 6: A square has a perimeter of 36 cm. What is the length of one side?
- 9 cm (Correct answer)
- 6 cm
- 12 cm
- 18 cm
Correct answer: 9 cm
A square has 4 equal sides, so 36 ÷ 4 = 9 cm.
Question 7: How many inches are in 4.5 feet?
- 54 in (Correct answer)
- 45 in
- 48 in
- 60 in
Correct answer: 54 in
There are 12 inches in a foot, so 4.5 × 12 = 54 in.
PERT Geometry & Measurement Skills 2
A rectangular garden is 12 ft long and 5 ft wide.
What is the length of the diagonal across the garden?