Chapter 1, Problem 1P

A Student sees a newspaper ad for an apartment that has 1330 square feet (Ft²) of floor space. How many square meters of area are there?

To determine

Square meters of area.

Answer to Problem 1P

  $124 {\text{m}}^2$

Explanation of Solution

Given:

An apartment has $1330$ square feet of floor space.

Formula used:

Conversion of units:

  $\begin{array}{l}1\text{ft}=\frac{1}{(3.281)} \text{m}\\ 1{\text{ft}}^2=\frac{1}{{(3.281)}^2} {\text{m}}^2\end{array}$

Calculation:

The given area(A) is equal to $1330{\text{ft}}^2$ and, to convert the unit of length from ft. to meter, divide ft by the conversion factor of $3.281$ . Hence, to convert from square foot to square meter, divide by ${(3.281)}^2$ , i.e.,

  $1{\text{ft}}^2=\frac{1}{{(3.281)}^2} {\text{m}}^2$

  $\begin{array}{c}A=1330{\text{ ft}}^2\left(\frac{1{\text{m}}^2}{{(3.281\text{ft})}^2}\right) \\ =123.5 {\text{m}}^2\\ =124 {\text{m}}^2\end{array}$

Conclusion:

Thus, the area is $124 {\text{m}}^2$ .