Police Math Test Police Math Area and Perimeter Calculations 2 — Questions and Answers
Question 1: A crime scene is taped off as a rectangle 18 feet long and 12 feet wide. What is the total length of tape needed to go around the perimeter?
- 60 feet (Correct answer)
- 30 feet
- 216 feet
- 72 feet
Correct answer: 60 feet
Perimeter of a rectangle = 2(length + width) = 2(18 + 12) = 60 feet.
Question 2: An officer measures a square evidence grid that is 9 feet on each side. What is the area of the grid?
- 81 square feet (Correct answer)
- 36 square feet
- 18 square feet
- 72 square feet
Correct answer: 81 square feet
Area of a square = side × side = 9 × 9 = 81 square feet.
Question 3: A parking lot is 50 feet by 40 feet. How many square feet of surface must be searched?
- 2,000 square feet (Correct answer)
- 180 square feet
- 90 square feet
- 1,000 square feet
Correct answer: 2,000 square feet
Area = length × width = 50 × 40 = 2,000 square feet.
Question 4: A triangular plot at an intersection has a base of 20 feet and a height of 15 feet. What is its area?
- 150 square feet (Correct answer)
- 300 square feet
- 35 square feet
- 175 square feet
Correct answer: 150 square feet
Area of a triangle = ½ × base × height = ½ × 20 × 15 = 150 square feet.
Question 5: A holding cell measures 12 feet by 10 feet. What is its perimeter?
- 44 feet (Correct answer)
- 120 feet
- 22 feet
- 48 feet
Correct answer: 44 feet
Perimeter = 2(12 + 10) = 44 feet.
Question 6: A circular search area has a radius of 7 feet. Using 3.14 for pi, what is its approximate area?
- 153.86 square feet (Correct answer)
- 43.96 square feet
- 21.98 square feet
- 307.72 square feet
Correct answer: 153.86 square feet
Area of a circle = pi × r² = 3.14 × 7 × 7 = 153.86 square feet.
Question 7: An officer must fence a rectangular yard 25 feet long and 15 feet wide. How many feet of fencing are required?
- 80 feet (Correct answer)
- 375 feet
- 40 feet
- 100 feet
Correct answer: 80 feet
Perimeter = 2(25 + 15) = 80 feet.
A crime scene is taped off as a rectangle 18 feet long and 12 feet wide.
What is the total length of tape needed to go around the perimeter?