A lifeguard walks around the perimeter of the lazy river ride. How far does the lifeguard walk?

The lifeguard walks around the perimeter which is 637.50 feet.
Perimeter is defined as the measure of sum all sides of a 2 dimensional figure. To calculate the perimeter we add all the individual sides of a polygon. The perimeter of a square is the sum of all four sides.
Since a triangle has three sides, the perimeter of a triangle is calculated by adding the sum of all the three sides of the triangle.
In the given figure we can see that the triangle is isosceles and the measure of the sides of the triangle are 216.75 feet , 216.75 feet and 204 feet.
Now the lifeguard walks around the perimeter of the triangular lazy-river ride.
Therefore perimeter = 216.75 +216.75 + 204 = 637.50 feet
Hence the lifeguard walks the perimeter which is 637.50 feet.
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