Police Math Area and Perimeter Calculations Questions and Answers

Question 1

An officer needs to secure a rectangular crime scene with police tape. The scene measures 60 feet in length and 40 feet in width. If the tape must be wrapped around the entire perimeter twice for security, what is the total length of tape required?

Accepted Answer

400 feet

Answer

The perimeter of a rectangle is calculated using the formula P = 2(length + width). First, find the perimeter of the scene: P = 2(60 ft + 40 ft) = 2(100 ft) = 200 feet. Since the tape must go around twice, multiply the perimeter by 2: 200 ft * 2 = 400 feet.

Question 2

A police department is setting up a square-shaped temporary evidence storage area. If one side of the area measures 15 yards, what is the total area available for storage?

Accepted Answer

225 square yards

Answer

The area of a square is calculated by multiplying the side length by itself (Area = side²). In this case, the area is 15 yards * 15 yards = 225 square yards.

Question 3

An officer used exactly 220 meters of police tape to fully enclose a rectangular accident scene. If the length of the scene is 70 meters, what is its width?

Accepted Answer

40 meters

Answer

The formula for the perimeter of a rectangle is P = 2(length + width). We are given P = 220 and length = 70. So, 220 = 2(70 + width). First, divide both sides by 2 to get 110 = 70 + width. Then, subtract 70 from 110 to find the width, which is 40 meters.

Question 4

A crime scene consists of two adjoining rectangular rooms, forming an 'L' shape. The first room is 10 feet by 12 feet. The second, smaller room is 8 feet by 8 feet. What is the total area of the crime scene that needs to be searched?

Accepted Answer

184 square feet

Answer

To find the total area of this composite shape, calculate the area of each room separately and then add them together. The area of the first room is 10 ft * 12 ft = 120 square feet. The area of the second room is 8 ft * 8 ft = 64 square feet. The total area is 120 sq ft + 64 sq ft = 184 square feet.

Question 5

An officer needs to document an incident that occurred within a circular public plaza. The radius of the plaza is 20 feet. What is the total area of the plaza? (Use π ≈ 3.14)

Accepted Answer

1,256 square feet

Answer

The area of a circle is calculated using the formula A = πr². Given a radius (r) of 20 feet and using 3.14 for π, the calculation is A = 3.14 * (20²). This equals 3.14 * 400, which is 1,256 square feet.

Police Math Test Practice Test

Police Math Test Practice Test

Police Math Area and Perimeter Calculations Questions and Answers