Question

A high school track is shaped as a rectangle with a half circle on either side.

A rectangle has a length of 96 meters and width of 35 meters. 2 semicircles with diameters of 35 meters are on each end of the rectangle.
Jake plans on running four laps. How many meters will Jake run? Use 3.14 for Pi.

301.9 m

823.6 m

1,207.6 m

1,647.2 m

Answer 1

C

Explanation:

i did the test and got it right :D

Answer 2

Option (3)

Explanation:

Track is shaped as a rectangle with a semicircle on either side.

Therefore, length of the track = 2(Length of rectangle) + perimeter of a complete circle formed by joining the semicircles on each side.

= 2(96) + 2πr

=
`192+2\pi ((35)/(2))`

= 192 + 35π

= 192 + 109.9

= 301.9 m

Since, Jake plans to run four laps.

Therefore, distance covered by Jake = 4 × 301.9

= 1207.6 m

Option (3) will be the correct option.