Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

A newspaper measuring [tex]$18 \, \text{cm}$[/tex] by [tex]$12 \, \text{cm}$[/tex] is spread on a table measuring [tex][tex]$20 \, \text{cm}$[/tex][/tex] by [tex]$15 \, \text{cm}$[/tex]. What is the percentage area of the table that is not covered?

Sagot :

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].
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.