Questions: Your measurements Another student's measurements Length (cm) 19.80 19.78 Width (cm) 13.08 13.06 Area (cm^2) ×

Transcript text: \begin{tabular}{|c|c|c|} \hline & Your measurements & Another student's measurements \\ \hline Length (cm) & 19.80 & 19.78 \\ \hline Width (cm) & 13.08 & 13.06 \\ \hline Area $\left(\mathrm{cm}^{2}\right)$ & & $\times$ \\ \hline \end{tabular}

Solution

Solution Steps

Step 1: Identify the Given Measurements

From the table, we have the following measurements:

Your measurements:
- Length: $19.80 \, \text{cm}$
- Width: $13.08 \, \text{cm}$
Another student's measurements:
- Length: $19.78 \, \text{cm}$
- Width: $13.06 \, \text{cm}$

Step 2: Calculate the Area for Your Measurements

The area of a rectangle is calculated using the formula:

\[ \text{Area} = \text{Length} \times \text{Width} \]

For your measurements:

\[ \text{Area} = 19.80 \, \text{cm} \times 13.08 \, \text{cm} = 258.984 \, \text{cm}^2 \]

Rounding to four significant digits, the area is:

\[ \text{Area} = 259.0 \, \text{cm}^2 \]

Step 3: Calculate the Area for Another Student's Measurements

Using the same formula for another student's measurements:

\[ \text{Area} = 19.78 \, \text{cm} \times 13.06 \, \text{cm} = 258.3668 \, \text{cm}^2 \]

Rounding to four significant digits, the area is:

\[ \text{Area} = 258.4 \, \text{cm}^2 \]