A Canadian football field is approximately 59 m wide. What is this measurement in feet? After meeting in Brandon, Kristen drove 114 km north and Joseph drove 68 mi south. Who drove... A Canadian football field is approximately 59 m wide. What is this measurement in feet? After meeting in Brandon, Kristen drove 114 km north and Joseph drove 68 mi south. Who drove further?
Understand the Problem
The question provides a lesson on converting SI and Imperial units, including examples involving foot and kilometers. It asks about the measurement of a Canadian football field in feet and compares distances driven by two individuals, determining who drove further.
Answer
The Canadian football field is approximately $192 \text{ ft}$. Kristen drove farther than Joseph.
Answer for screen readers
The measurement of the Canadian football field is approximately $192 \text{ ft}$.
Kristen drove further than Joseph.
Steps to Solve
- Convert the width of the Canadian football field from meters to feet
Given that the Canadian football field is approximately 59 m wide, we will use the conversion factor:
$$ 1 \text{ m} = 3.25 \text{ ft} $$
To convert meters to feet, we multiply:
$$ 59 \text{ m} \times 3.25 \frac{\text{ ft}}{\text{ m}} $$
- Calculate the width in feet
Perform the multiplication to get the width in feet:
$$ 59 \times 3.25 = 191.75 \text{ ft} $$
Rounding to the nearest whole number, we get:
$$ \text{Width} \approx 192 \text{ ft} $$
- Determine who drove further
Convert the distances driven by both individuals to miles for comparison.
For Kristen driving 114 km:
Using the conversion factor:
$$ 1 \text{ km} = 0.6 \text{ mi} $$
Perform the conversion:
$$ 114 \text{ km} \times 0.6 \frac{\text{ mi}}{\text{ km}} $$
Calculating gives:
$$ 114 \times 0.6 = 68.4 \text{ mi} $$
For Joseph driving 68 mi, no conversion is needed.
- Compare the distances
Kristen's distance:
- Kristen: 68.4 mi
- Joseph: 68 mi
Since 68.4 mi is greater than 68 mi, this means:
$$ \text{Kristen drove farther than Joseph.} $$
The measurement of the Canadian football field is approximately $192 \text{ ft}$.
Kristen drove further than Joseph.
More Information
This exercise helps illustrate the process of converting between metric and imperial units, which can often come up in various real-life applications, especially in sports and travel contexts.
Tips
- Forgetting to multiply by the correct conversion factor.
- Mixing up which unit goes on the top and which goes on the bottom in the conversion fractions. Always check that the units cancel properly.
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