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A vacation spot is 28 m and 50 cm long and 51 m 50 cm wide find the number of rounds along the boundary if one should take to run 2 km?
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A vacation spot is 28 m and 50 cm long and 51 m 50 cm wide find the nu...
Understanding the Dimensions
To calculate the number of rounds along the boundary of the vacation spot, we first need to convert the dimensions into a uniform unit and find the perimeter.
- Length = 28 m 50 cm = 28.5 m
- Width = 51 m 50 cm = 51.5 m
Calculating the Perimeter
The perimeter (P) of a rectangle is calculated using the formula:
P = 2 × (Length + Width)
- P = 2 × (28.5 m + 51.5 m)
- P = 2 × 80 m
- P = 160 m
Converting the Distance to Meters
Next, we convert the total distance to be run, which is 2 km, into meters.
- 2 km = 2000 m
Finding the Number of Rounds
To find the number of rounds (N) one would take to cover 2000 m at the perimeter of 160 m, we use the formula:
N = Total Distance / Perimeter
- N = 2000 m / 160 m
- N = 12.5 rounds
Conclusion
Therefore, if one should run along the boundary of the vacation spot, they would complete 12 full rounds and an additional half round. This gives a total of 12.5 rounds around the area.
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A vacation spot is 28 m and 50 cm long and 51 m 50 cm wide find the number of rounds along the boundary if one should take to run 2 km?
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