Question

An athletic field is a 100 yd-by-40 yd rectangle with a semicircle at each of the short sides. A running track 10 yd wide surrounds the field. Find the perimeter of the outside of the running track to the nearest tenth of a yard.

a) 520.0 yards
b) 440.0 yards
c) 560.0 yards
d) 480.0 yards

Answer 1

The perimeter of the outside of the running track is 600 yards which is approximately equal to C)560 yards

Step-by-step explanation:

To find the perimeter of the outside of the running track, we need to add up the lengths of all the sides. The rectangular field has a length of 100 yards and a width of 40 yards, so the total length of the four sides is 2(100 + 40) = 280 yards.

The running track surrounds the field, so we need to add its width to the length and width of the field. The width of the track is 10 yards, so the total length and width of the track and field combined is 280 + 2(10) = 300 yards. Therefore, the perimeter of the outside of the running track is 2(300) = 600 yards.