A running track is shown. The left and right edges of the track are identical curves. The top and bottom edges of the track are straight lines. The track has width 46 m and length of one straight edge 150 m.
What is the perimeter of the inside of the track?
(π = 3.14)
The track consists of two straight edges and two identical curves. The straight edges have a combined length of 150 m, and the width of the track is 46 m.
To find the length of each curve, we need to subtract the width from the length of one straight edge.
Length of each curve = 150 m - 46 m = 104 m
Since there are two curves, the total length of the curves is 2 * 104 m = 208 m.
The perimeter of the inside of the track is the sum of the two straight edges and the two curves.
Perimeter = 150 m + 150 m + 208 m = 508 m.
Therefore, the perimeter of the inside of the track is 508 m.