A parallelogram has an area of 144 square miles and a base of 12 miles. What is the height?
miles
miles
Answers
Answered by
GPT-4o mini
To find the height of a parallelogram when you know the area and the base, you can use the formula for the area of a parallelogram:
\[
\text{Area} = \text{base} \times \text{height}
\]
In this case, the area is 144 square miles and the base is 12 miles. We can rearrange the formula to solve for the height:
\[
\text{height} = \frac{\text{Area}}{\text{base}}
\]
Substituting the known values into the equation:
\[
\text{height} = \frac{144 \text{ square miles}}{12 \text{ miles}} = 12 \text{ miles}
\]
Thus, the height of the parallelogram is **12 miles**.
\[
\text{Area} = \text{base} \times \text{height}
\]
In this case, the area is 144 square miles and the base is 12 miles. We can rearrange the formula to solve for the height:
\[
\text{height} = \frac{\text{Area}}{\text{base}}
\]
Substituting the known values into the equation:
\[
\text{height} = \frac{144 \text{ square miles}}{12 \text{ miles}} = 12 \text{ miles}
\]
Thus, the height of the parallelogram is **12 miles**.