https://file.aiquickdraw.com/mathbot/file/1729348484279kj1ne814.jpg

The image shows a quadrilateral with the following dimensions:

- Height (vertical side) = 6 inches
- Height (slanted side) = 8 inches
- Base (horizontal side) = 10 inches

The figure is a parallelogram, and the formula for the area \( A \) of a parallelogram is:

\[
A = \text{Base} \times \text{Height}
\]

Here, the base is given as 10 inches, and the height is 6 inches (the perpendicular height). Using the formula:

\[
A = 10 \, \text{in} \times 6 \, \text{in} = 60 \, \text{in}^2
\]

So, the area of the figure is:

\[
A = 60 \, \text{in}^2
\]

Would you like further details or have any questions about this? Here are some related questions for better understanding:

1. What are the key differences between parallelograms and other quadrilaterals like trapezoids?
2. How do you find the area of a parallelogram if the height is not given?
3. Can the slanted side length be used to find the area of this figure?
4. What happens to the area of a parallelogram if the base or height is doubled?
5. What are some real-life examples of parallelograms?

**Tip:** The height of a parallelogram is always perpendicular to its base, not along the slanted sides.

Find the area of a parallelogram with a base of 10 inches and a height of 6 inches.

This solution covers how to calculate the area of a parallelogram with a base of 10 inches and a height of 6 inches. Learn the step-by-step method of using the area formula for parallelograms, perfect for students in Grades 6-7.

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