Answer
\[\underline{\text{42}\text{.15}%}\]
Work Step by Step
Convert \[\text{acres}\]to \[\text{f}{{\text{t}}^{\text{2}}}\] as follows:
\[\begin{align}
& 1\ \text{acre}=\text{43,560}\ \text{f}{{\text{t}}^{2}} \\
& \text{954}\ \text{million acres}=\left( 954\times {{10}^{6}} \right)\left( \text{43,560}\ \text{f}{{\text{t}}^{2}} \right)
\end{align}\]
Convert \[\text{m}{{\text{i}}^{2}}\]to \[\text{f}{{\text{t}}^{\text{2}}}\] as follows:
\[\begin{align}
& 1\ \text{mi}=\text{5280}\ \text{ft} \\
& 1\text{ m}{{\text{i}}^{2}}=\left( 1\ \text{m}{{\text{i}}^{2}} \right)\left( 1\ \text{m}{{\text{i}}^{2}} \right) \\
& =\left( \text{5280}\ \text{ft} \right)\left( \text{5280}\ \text{ft} \right) \\
& =27,878,400\ \text{f}{{\text{t}}^{2}}
\end{align}\]
Calculate the total area in \[\text{m}{{\text{i}}^{2}}\]as follows:
\[\left( 954\times {{10}^{6}} \right)\left( 43,560\ \text{f}{{\text{t}}^{2}} \right)\left( \frac{1\ \text{m}{{\text{i}}^{2}}}{27,878,400\ \text{f}{{\text{t}}^{2}}} \right)=1.491\times 1{{0}^{6}}\ \text{m}{{\text{i}}^{2}}\]
The total land area is \[3.537\times {{10}^{6}}\ \text{m}{{\text{i}}^{2}}\].
Calculate the percentage of land as follows:
\[\begin{align}
& P=\left( \frac{{{F}_{\text{A}}}}{{{T}_{\text{A}}}} \right)\left( 100 \right) \\
& =\left( \frac{1.491\times {{10}^{6}}\ \text{m}{{\text{i}}^{2}}}{3.537\times {{10}^{6}}\ \text{m}{{\text{i}}^{2}}} \right)\left( 100 \right) \\
& =42.15
\end{align}\]
The percentage of land is \[\underline{\text{42}\text{.15}}\].
