Quantitative Reasoning: Geometry and Measurement Flashcards

What is the area of a rectangle with length 8 cm and width 5 cm?

Answer: 40 cm²

The area of a rectangle is calculated as length × width = 8 × 5 = 40 cm².

What is the circumference of a circle with a diameter of 10 cm? (Use π ≈ 3.14)

Answer: 31.4 cm

Circumference = π × d = 3.14 × 10 = 31.4 cm.

A triangle has a base of 12 m and a height of 7 m. What is its area?

Answer: 42 m²

Area of a triangle = ½ × base × height = ½ × 12 × 7 = 42 m².

What is the perimeter of a square with a side length of 9 inches?

Answer: 36 inches

Perimeter of a square = 4 × side = 4 × 9 = 36 inches.

The area of a circle with radius 6 cm is approximately: (Use π ≈ 3.14)

Answer: 113.04 cm²

Area of a circle = π × r² = 3.14 × 6² = 3.14 × 36 = 113.04 cm².

A trapezoid has parallel bases of 6 ft and 10 ft and a height of 4 ft. What is its area?

Answer: 32 ft²

Area of a trapezoid = ½ × (b₁ + b₂) × h = ½ × (6 + 10) × 4 = ½ × 16 × 4 = 32 ft².