Questions: If you are carpeting an auditorium that measures 108 m^2, how much carpet (in square feet) would you need to carpet this auditorium?

Solution Steps

To convert the area from square meters to square feet, we need to use the conversion factor where 1 square meter is approximately equal to 10.7639 square feet. Multiply the given area in square meters by this conversion factor to get the area in square feet.

To find the area of the auditorium in square feet, we use the conversion factor \( 1 \, \text{m}^2 \approx 10.7639 \, \text{ft}^2 \). Therefore, the area in square feet can be calculated as follows:

\[ \text{Area}_{\text{ft}^2} = \text{Area}_{\text{m}^2} \times 10.7639 \]

Substituting the given area:

\[ \text{Area}_{\text{ft}^2} = 108 \, \text{m}^2 \times 10.7639 \, \text{ft}^2/\text{m}^2 \]

Now, performing the multiplication:

\[ \text{Area}_{\text{ft}^2} = 1162.5012 \, \text{ft}^2 \]

Rounding the result to four significant digits gives us:

\[ \text{Area}_{\text{ft}^2} \approx 1162.5 \, \text{ft}^2 \]

Final Answer