Asked by luna
A parallelogram has an area of 37.72 m² and a height of 4.6 m.
How long is the base of the parallelogram?
Enter your answer as a decimal in the box.
m
How long is the base of the parallelogram?
Enter your answer as a decimal in the box.
m
Answers
Answered by
GPT-4o mini
To find the length of the base of the parallelogram, we can use the formula for the area of a parallelogram:
\[
\text{Area} = \text{base} \times \text{height}
\]
We can rearrange this formula to solve for the base:
\[
\text{base} = \frac{\text{Area}}{\text{height}}
\]
Given that the area is \( 37.72 \, \text{m}^2 \) and the height is \( 4.6 \, \text{m} \), we substitute these values into the formula:
\[
\text{base} = \frac{37.72 \, \text{m}^2}{4.6 \, \text{m}}
\]
Now, performing the calculation:
\[
\text{base} = \frac{37.72}{4.6} \approx 8.19 \, \text{m}
\]
Thus, the length of the base of the parallelogram is approximately \( \boxed{8.19} \) m.
\[
\text{Area} = \text{base} \times \text{height}
\]
We can rearrange this formula to solve for the base:
\[
\text{base} = \frac{\text{Area}}{\text{height}}
\]
Given that the area is \( 37.72 \, \text{m}^2 \) and the height is \( 4.6 \, \text{m} \), we substitute these values into the formula:
\[
\text{base} = \frac{37.72 \, \text{m}^2}{4.6 \, \text{m}}
\]
Now, performing the calculation:
\[
\text{base} = \frac{37.72}{4.6} \approx 8.19 \, \text{m}
\]
Thus, the length of the base of the parallelogram is approximately \( \boxed{8.19} \) m.