Ishika has designed a small oval race track for her remote control car. Her design is shown in the figure. What is the total distance around the track? Round your answer to the nearest whole cm.

205 c m

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305 c m

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100 c m

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245 c m

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Solution

The correct option is A $205 c m$
Total distance around the track $=$ Perimeter of the given track

The track is a combination of a rectangular path and two semi-circular paths.

Hence perimeter of the given track $= 52 + 52 + 2 π r$

$= 52 + 52 + 2 \times \frac{22}{7} \times 16$

$= 104 + 100.57$

$= 204.57 \approx 205 c m$ .

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Ishika has designed a small oval race track for her remote control car. Her design is shown in the figure. What is the total distance around the track? Round your answer to the nearest whole cm.

The correct option is A 205 cmTotal distance around the track = Perimeter of the given track The track is a combination of a rectangular path and two semi-circular paths.Hence perimeter of the given track=52+52+2πr =52+52+2×227×16 =104+100.57 =204.57≈205 cm.