https://file.aiquickdraw.com/mathbot/file/1726775279059sbit3lke.jpg

To calculate the area of trapezoid \( JKLM \), we will use the formula for the area of a trapezoid:

\[
A = \frac{1}{2} \cdot h \cdot (b_1 + b_2)
\]

Where:
- \( b_1 \) and \( b_2 \) are the lengths of the parallel sides (the bases),
- \( h \) is the height.

From the information provided in the image:
- The longer base \( LM = 57.7 \) inches,
- The shorter base \( JK = 30 \) inches,
- The height \( JN = 21.1 \) inches.

Substituting these values into the formula:

\[
A = \frac{1}{2} \cdot 21.1 \cdot (57.7 + 30)
\]

Now, I'll calculate the area for you.The area of trapezoid \( JKLM \) is approximately \( 925.24 \, \text{square inches} \).

Would you like more details or have any further questions?

Here are 5 related questions for further exploration:
1. How does changing the height of a trapezoid affect its area?
2. Can the area of a trapezoid be calculated if one of the bases is unknown?
3. What is the difference between the area of a trapezoid and a parallelogram?
4. How can you determine the height of a trapezoid if it's not provided directly?
5. How do the properties of a trapezoid differ from other quadrilaterals?

**Tip**: Always ensure that the units for height and bases are consistent when calculating the area of a trapezoid.

What is the area of trapezoid JKLM if JK = 30 inches, LM = 57.7 inches, JN = 21.1 inches, and the height is 21.1 inches?

Learn how to calculate the area of trapezoid JKLM with the given base lengths of 30 inches and 57.7 inches, and a height of 21.1 inches. Use the formula A = 1/2 * h * (b1 + b2) to find the area of this trapezoid, approximately 925.24 square inches. This geometry problem is suitable for students in Grades 6-8.

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