Question

Express 2500 cm^2 as a percentage of 4 m^2

Answer 1

$1 \: {m}^{2} = 100 \: cm \times 100 \: cm = 10000 \: {cm}^{2} \\ \\ 4 \: {m}^{2} = 4 \times 10000 = 40000 \: {cm}^{2}$

$\text{2500 cm^2 as a percentage of 4 m^2 }=\\ \\ \frac{2500}{40000} \times 100 = \frac{25}{4}=6.25 \: percent$

Thus, 2500cm^2 is 6.25% of 4 m^2.

Answer 2

Answer:

→ $\boxed {6.25 percent}$

Step-by-step explanation:

$\begin{lgathered}1 \: {m}^{2} = 100 \: cm \times 100 \: cm = 10000 \: {cm}^{2} \\ \\ 4 \: {m}^{2} = 4 \times 10000 = 40000 \: {cm}^{2}\end{lgathered}$

$\begin{lgathered}\text{2500 cm^2 as a percentage of 4 m^2 }=\\ \\ \frac{2500}{40000} \times 100 = \frac{25}{4}=6.25 \: percent\end{lgathered}$