To find the percentage area of the table that is not covered by the newspaper, we can follow these steps:
1. Calculate the area of the newspaper:
The dimensions of the newspaper are 18 cm by 12 cm. The area of a rectangle is found by multiplying its length by its width.
[tex]\[
\text{Newspaper Area} = 18 \, \text{cm} \times 12 \, \text{cm} = 216 \, \text{cm}^2
\][/tex]
2. Calculate the area of the table:
The dimensions of the table are 20 cm by 15 cm. Similarly, we'll find the area by multiplying its length by its width.
[tex]\[
\text{Table Area} = 20 \, \text{cm} \times 15 \, \text{cm} = 300 \, \text{cm}^2
\][/tex]
3. Calculate the area of the table that is not covered by the newspaper:
We'll subtract the area of the newspaper from the area of the table to find the uncovered area.
[tex]\[
\text{Uncovered Area} = \text{Table Area} - \text{Newspaper Area} = 300 \, \text{cm}^2 - 216 \, \text{cm}^2 = 84 \, \text{cm}^2
\][/tex]
4. Calculate the percentage of the table area that is not covered by the newspaper:
We'll use the formula for percentage:
[tex]\[
\text{Percentage Uncovered} = \left( \frac{\text{Uncovered Area}}{\text{Table Area}} \right) \times 100
\][/tex]
Plugging in the values we have:
[tex]\[
\text{Percentage Uncovered} = \left( \frac{84 \, \text{cm}^2}{300 \, \text{cm}^2} \right) \times 100 \approx 28\%
\][/tex]
So, the percentage area of the table that is not covered by the newspaper is approximately [tex]\( 28\% \)[/tex].
