To determine the width of the community swimming pool in meters and centimeters, follow these steps:
1. Convert the width from yards to feet:
- The pool is 9 yards 2.79 feet wide.
- Since 1 yard is equivalent to 3 feet, multiply the number of yards by 3 to get the width in feet:
[tex]\[
9 \text{ yards} \times 3 \text{ feet/yard} = 27 \text{ feet}
\][/tex]
- Add the 2.79 feet to this result to get the total width in feet:
[tex]\[
27 \text{ feet} + 2.79 \text{ feet} = 29.79 \text{ feet}
\][/tex]
2. Convert the width from feet to meters:
- Use the conversion factor [tex]\(1 \text{ foot} = 0.3048 \text{ meters}\)[/tex]:
[tex]\[
29.79 \text{ feet} \times 0.3048 \text{ meters/foot} = 9.079992 \text{ meters}
\][/tex]
3. Convert the width from meters to centimeters:
- Since 1 meter equals 100 centimeters, multiply the number of meters by 100:
[tex]\[
9.079992 \text{ meters} \times 100 = 907.9992 \text{ centimeters}
\][/tex]
4. Round the centimeters to the nearest hundredth:
- Round 907.9992 centimeters to the nearest hundredth:
[tex]\[
907.9992 \approx 908.00
\][/tex]
Thus, the width of the pool in meters and centimeters is:
- Width in meters: [tex]\(9.08\)[/tex] meters (rounded to two decimal places)
- Width in centimeters: [tex]\(908.00\)[/tex] centimeters (rounded to the nearest hundredth)
