Geometry & Measurement Skills Flashcards

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

Answer: 13 ft

By the Pythagorean theorem, √(12² + 5²) = √169 = 13 ft.

What is the area of a triangle with a base of 10 cm and a height of 6 cm?

Answer: 30 cm²

Area = ½ × base × height = ½ × 10 × 6 = 30 cm².

A circle has a radius of 7 in. Using π ≈ 22/7, what is its circumference?

Answer: 44 in

Circumference = 2πr = 2 × (22/7) × 7 = 44 in.

Two angles are complementary. If one angle measures 35°, what is the measure of the other?

Answer: 55°

Complementary angles sum to 90°, so 90° − 35° = 55°.

What is the volume of a rectangular box that is 4 ft by 3 ft by 2 ft?

Answer: 24 ft³

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

A square has a perimeter of 36 cm. What is the length of one side?

Answer: 9 cm

A square has 4 equal sides, so 36 ÷ 4 = 9 cm.

How many inches are in 4.5 feet?

Answer: 54 in

There are 12 inches in a foot, so 4.5 × 12 = 54 in.