Question

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 84m long and 50m wide. What is the length of a training track running around the field? (Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.)

Answer 1

Explanation:

To calculate the length of the training track running around the field, we need to add the lengths of the two semicircles and the rectangle. The rectangle has a length of 84m and a width of 50m, so its perimeter is 2(84m + 50m) = 268m. The semicircles have a diameter of 50m, so their radius is 25m. The perimeter of each semicircle is half of the circumference of a full circle with a radius of 25m, which is 2 x 3.14 x 25m = 157m. The total length of the training track is therefore 268m + 2 x 157m = 582m.