Police Math Area and Perimeter Calculations Flashcards
7 cards from real Police Math Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Police Math Area and Perimeter Calculations flashcards as text
A rectangular evidence tarp is 12 feet by 5 feet. What is the length of its diagonal?
Answer: 13 feet
Using the Pythagorean theorem: √(12² + 5²) = √169 = 13 feet.
A patrol zone is 0.5 miles by 0.5 miles. What is its area in square miles?
Answer: 0.25 square miles
Area = 0.5 × 0.5 = 0.25 square miles.
A rectangular room measures 240 inches by 120 inches. What is its area in square feet? (12 inches = 1 foot)
Answer: 200 square feet
Convert to feet: 20 ft × 10 ft = 200 square feet.
A trapezoidal lot has parallel sides of 10 ft and 14 ft and a height of 6 ft. What is its area?
Answer: 72 square feet
Area = ½ × (10 + 14) × 6 = ½ × 24 × 6 = 72 square feet.
If the side of a square search area is doubled, how does its area change?
Answer: It becomes 4 times larger
Area scales with the square of the side, so doubling the side multiplies the area by 4.
A rectangular field is 40 ft by 25 ft. A path 5 ft wide runs along one 40-ft side. What is the path's area?
Answer: 200 square feet
Path area = 40 × 5 = 200 square feet.
A circular cordon must be 50 feet around (circumference). Using 3.14 for pi, what is its approximate radius?
Answer: About 7.96 feet
Radius = circumference ÷ (2 × pi) = 50 ÷ 6.28 ≈ 7.96 feet.