Mathematics: Geometry and Measurement Flashcards

How many feet are in 2 miles?

Answer: 10,560 feet

There are 5,280 feet in one mile, so 2 miles = 2 × 5,280 = 10,560 feet.

A map has a scale of 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance between them?

Answer: 175 miles

Multiply the map distance by the scale factor: 3.5 × 50 = 175 miles.

What is the area of a trapezoid with parallel sides of 8 cm and 12 cm and a height of 5 cm?

Answer: 50 cm²

Area of a trapezoid = ½(b₁ + b₂) × h = ½(8 + 12) × 5 = ½ × 20 × 5 = 50 cm².

If a square has a perimeter of 36 cm, what is its area?

Answer: 81 cm²

Each side = 36 ÷ 4 = 9 cm; area = 9² = 81 cm².

Which unit of measurement is most appropriate for expressing the distance between two cities?

Answer: Kilometers

Kilometers (or miles in customary units) are the standard units for measuring long distances between cities.

What is the measure of each interior angle in an equilateral triangle?

Answer: 60°

An equilateral triangle has three equal angles that must sum to 180°, so each angle = 180° ÷ 3 = 60°.

A right triangle has legs measuring 3 cm and 4 cm. What is the length of the hypotenuse?

Answer: 5 cm

By the Pythagorean theorem, c² = 3² + 4² = 9 + 16 = 25, so c = √25 = 5 cm.