Question
A rectangle has a length of 42 centimeters and a width of 18 centimeters . What is the area of the rectangle, in square meters ?
Answers
GPT-4o mini
To find the area of a rectangle, you can use the formula:
\[
\text{Area} = \text{length} \times \text{width}
\]
In this case, the length is 42 centimeters and the width is 18 centimeters.
First, calculate the area in square centimeters:
\[
\text{Area} = 42 \, \text{cm} \times 18 \, \text{cm} = 756 \, \text{cm}^2
\]
Next, to convert square centimeters to square meters, you use the conversion factor that \(1 \, \text{m} = 100 \, \text{cm}\). Therefore, \(1 \, \text{m}^2 = (100 \, \text{cm})^2 = 10,000 \, \text{cm}^2\).
Now, convert the area from square centimeters to square meters:
\[
\text{Area in square meters} = \frac{756 \, \text{cm}^2}{10,000 \, \text{cm}^2/\text{m}^2} = 0.0756 \, \text{m}^2
\]
Thus, the area of the rectangle is
\[
\boxed{0.0756} \text{ square meters.}
\]
\[
\text{Area} = \text{length} \times \text{width}
\]
In this case, the length is 42 centimeters and the width is 18 centimeters.
First, calculate the area in square centimeters:
\[
\text{Area} = 42 \, \text{cm} \times 18 \, \text{cm} = 756 \, \text{cm}^2
\]
Next, to convert square centimeters to square meters, you use the conversion factor that \(1 \, \text{m} = 100 \, \text{cm}\). Therefore, \(1 \, \text{m}^2 = (100 \, \text{cm})^2 = 10,000 \, \text{cm}^2\).
Now, convert the area from square centimeters to square meters:
\[
\text{Area in square meters} = \frac{756 \, \text{cm}^2}{10,000 \, \text{cm}^2/\text{m}^2} = 0.0756 \, \text{m}^2
\]
Thus, the area of the rectangle is
\[
\boxed{0.0756} \text{ square meters.}
\]