PERT Geometry & Measurement Skills 2

Question 1

A rectangular garden is 12 ft long and 5 ft wide. What is the length of the diagonal across the garden?

Accepted Answer

13 ft

Answer

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?

Accepted Answer

30 cm²

Answer

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?

Accepted Answer

44 in

Answer

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?

Accepted Answer

55°

Answer

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?

Accepted Answer

24 ft³

Answer

Volume = length × width × height = 4 × 3 × 2 = 24 ft³.

PERT Practice Test