This worksheet uses the theme of cars to present a variety of geometry word problems. The questions require students to calculate the circumference of a tire, determine the shortest path between two points, and calculate the area of shapes related to car parts and movements, such as windshields, parking lots, and driveways. Students must apply different geometric formulas to real-life situations involving cars, such as figuring out the total width of a car based on the distance between wheels and the size of a car’s headlight area.
The worksheet is designed to teach students geometry through practical application, using the context of automobiles to make the problems relatable and interesting. It covers a range of geometric concepts including circumference, area calculation for various shapes, and the concept of distance and speed. By solving these car-themed problems, students reinforce their understanding of geometry and its use in everyday life. The worksheet also aims to enhance students’ problem-solving skills by translating the descriptive scenarios into mathematical calculations.
1. A car has a tire with a diameter of 60 centimeters. Calculate the circumference of the tire in centimeters.
2. A car travels in a straight line for 500 meters, then makes a 90-degree turn and travels another 300 meters. Determine the shortest distance from its starting point to its final position.
3. A car’s windshield is in the shape of a trapezoid with a height of 40 centimeters, a top base of 100 centimeters, and a bottom base of 120 centimeters. Calculate the area of the windshield in square centimeters.
4. A parking lot is rectangular, measuring 60 meters in length and 30 meters in width. Calculate the area of the parking lot in square meters.
5. A car is driving on a curved road with a radius of 200 meters. Calculate the length of the curve that the car follows, assuming it travels halfway around the circle.
6. A car’s rearview mirror is in the shape of a right triangle with legs measuring 15 centimeters and 20 centimeters. Determine the area of the mirror in square centimeters.
7. A car’s wheelbase, the distance between the centers of the front and rear wheels, is 2.5 meters. If the front and rear wheels each have a width of 20 centimeters, calculate the total width of the car.