This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — here's the solution to the problem: The diagram shows a track composed of a rectangle with two semicircles at its ends. Kibet ran around this track five times. We need to find the total distance covered in kilometers. Step 1: Determine the dimensions of the track. The length of the straight sections is 110 m. The diameter of each semicircle (which is also the width of the rectangular part) is 70 m. Step 2: Calculate the perimeter of one lap of the track. The perimeter of the track consists of two straight sections and the circumference of two semicircles (which combine to form one full circle). Length of two straight sections = 2 × 110 m = 220 m. Circumference of one full circle (from the two semicircles) = × diameter. Using the approximation = (22)/(7): Circumference = (22)/(7) × 70 m = 22 × 10 m = 220 m. Perimeter of one lap = (Length of straight sections) + (Circumference of full circle) Perimeter of one lap = 220 m + 220 m = 440 m. Step 3: Calculate the total distance Kibet covered for five laps. Total distance = Perimeter of one lap × Number of laps Total distance = 440 m × 5 = 2200 m. Step 4: Convert the total distance from meters to kilometers. Since 1 km = 1000 m: Total distance in kilometers = 2200 m1000 m/km = 2.2 km. Kibet covered a total distance of 2.2 km. What's next?