https://file.aiquickdraw.com/mathbot/file/1724697018432ncqjmvtn.jpg

To find the perimeter of the parallelogram in the image, let's analyze the given dimensions:

1. **Base (AB)**: The length of the base \( AB \) is 10 inches.
2. **Side (BC)**: The length of the side \( BC \) is 4 inches.

In a parallelogram, opposite sides are equal. Therefore:

- The opposite side to \( AB \) (which is \( CD \)) is also 10 inches.
- The opposite side to \( BC \) (which is \( AD \)) is also 4 inches.

**Perimeter of a parallelogram** is calculated using the formula:
\[
\text{Perimeter} = 2 \times (\text{Base} + \text{Side})
\]

Substituting the values:
\[
\text{Perimeter} = 2 \times (10 \text{ inches} + 4 \text{ inches}) = 2 \times 14 \text{ inches} = 28 \text{ inches}
\]

So, the perimeter of the parallelogram is **28 inches**.

Would you like further details or have any questions?

Here are 5 related questions you might consider:
1. How would the perimeter change if the base were doubled?
2. What is the formula for the area of this parallelogram?
3. How does changing the angle between the sides affect the perimeter?
4. How does the perimeter of a parallelogram compare to that of a rectangle with the same side lengths?
5. What other properties of parallelograms are useful in solving geometry problems?

**Tip:** When dealing with any geometric shape, always start by identifying key properties like equal sides, parallel sides, and angles. This simplifies many calculations!

Learn how to calculate the perimeter of a parallelogram with base AB = 10 inches and side BC = 4 inches using the formula: Perimeter = 2 * (Base + Side). Understand the properties of parallelograms and how to apply them in geometric calculations. Suitable for students in Grades 7-9.

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