Question
A parallelogram has an area of 176 square miles and a height of 11 miles. What is the length of the base?
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 are given the area of the parallelogram as 176 square miles and the height as 11 miles. We can substitute these values into the formula:
\[
176 = \text{base} \times 11
\]
To find the length of the base, we can solve for it by dividing both sides of the equation by 11:
\[
\text{base} = \frac{176}{11}
\]
Now, we perform the division:
\[
\text{base} = 16
\]
Thus, the length of the base of the parallelogram is:
\[
\boxed{16} \text{ miles}
\]
\[
\text{Area} = \text{base} \times \text{height}
\]
We are given the area of the parallelogram as 176 square miles and the height as 11 miles. We can substitute these values into the formula:
\[
176 = \text{base} \times 11
\]
To find the length of the base, we can solve for it by dividing both sides of the equation by 11:
\[
\text{base} = \frac{176}{11}
\]
Now, we perform the division:
\[
\text{base} = 16
\]
Thus, the length of the base of the parallelogram is:
\[
\boxed{16} \text{ miles}
\]