Question
A paper has an area of 72 square inches. What is the paper's area in square centimeters? Use the following conversion: 6.5 square inch is square centimeters.
Answers
GPT-4o mini
To convert the area of the paper from square inches to square centimeters using the provided conversion factor (6.5 square inches = square centimeters), we can set up a proportion.
1. First, let's determine how many square centimeters are equivalent to 1 square inch:
\[
1 \text{ square inch} = \frac{100}{6.5} \text{ square centimeters}
\]
\[
1 \text{ square inch} \approx 15.3846 \text{ square centimeters}
\]
2. Now, we can convert the area of the paper:
\[
72 \text{ square inches} \times 15.3846 \text{ square centimeters/square inch} \approx 1107.69 \text{ square centimeters}
\]
Therefore, the area of the paper in square centimeters is approximately **1107.69 square centimeters**.
1. First, let's determine how many square centimeters are equivalent to 1 square inch:
\[
1 \text{ square inch} = \frac{100}{6.5} \text{ square centimeters}
\]
\[
1 \text{ square inch} \approx 15.3846 \text{ square centimeters}
\]
2. Now, we can convert the area of the paper:
\[
72 \text{ square inches} \times 15.3846 \text{ square centimeters/square inch} \approx 1107.69 \text{ square centimeters}
\]
Therefore, the area of the paper in square centimeters is approximately **1107.69 square centimeters**.