conversion factor

[logistic_guy]

What is the conversion factor between $\displaystyle \bold{(a)}$ $\displaystyle \text{ft}^2$ and $\displaystyle \text{yd}^2$, $\displaystyle \bold{(b)}$ $\displaystyle \text{m}^2$ and $\displaystyle \text{ft}^2$?

 

[khansaheb]

What is the conversion factor between $\displaystyle \bold{(a)}$ $\displaystyle \text{ft}^2$ and $\displaystyle \text{yd}^2$, $\displaystyle \bold{(b)}$ $\displaystyle \text{m}^2$ and $\displaystyle \text{ft}^2$?

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[logistic_guy]

$\displaystyle \bold{(a)}$

$\displaystyle 1 \ \text{yd} \rightarrow 3 \ \text{ft}$

Then,

$\displaystyle \text{ft}^2 = \text{ft}^2 \times \frac{\text{yd}}{3 \ \text{ft}} \times \frac{\text{yd}}{3 \ \text{ft}} = \textcolor{blue}{0.11111 \ \text{yd}^2}$


$\displaystyle \bold{(b)}$

$\displaystyle 1 \ \text{m} \rightarrow 3.28 \ \text{ft}$

Then,

$\displaystyle \text{m}^2 = \text{m}^2 \times \frac{3.28 \ \text{ft}}{\text{m}} \times \frac{3.28 \ \text{ft}}{\text{m}} = \textcolor{blue}{10.758 \ \text{ft}^2}$