https://file.aiquickdraw.com/mathbot/file/17300854905759gb8rt37.jpg

(a) Find the perimeter of the figure.
ft

(b) Find the area of the figure.
ft2

To solve this problem for the given parallelogram, let's break it down into two parts: the perimeter and the area.

### (a) Finding the Perimeter
The perimeter of a parallelogram is calculated by summing the lengths of all its sides. Since opposite sides of a parallelogram are equal, we have:

- Two sides of length \( 18 \) ft (the base).
- Two sides of length \( 9 \) ft (the side length).

The formula for the perimeter \( P \) is:
\[
P = 2 \times ( \text{base} + \text{side length} )
\]

Substitute the values:
\[
P = 2 \times (18 + 9) = 2 \times 27 = 54 \text{ ft}
\]

So, the perimeter of the parallelogram is **54 ft**.

### (b) Finding the Area
The area of a parallelogram is calculated using the formula:
\[
\text{Area} = \text{base} \times \text{height}
\]

Here:
- The base is \( 18 \) ft.
- The height (perpendicular distance from the base to the opposite side) is given as \( 4 \) ft.

Substitute the values:
\[
\text{Area} = 18 \times 4 = 72 \text{ ft}^2
\]

So, the area of the parallelogram is **72 ft²**.

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Would you like a detailed explanation of these calculations or have any questions?

Here are some related questions you might find helpful:
1. How would the area change if the height were increased?
2. What happens to the perimeter if we double the side lengths?
3. How is the formula for the area of a parallelogram derived?
4. What other shapes share the same area formula as a parallelogram?
5. How does the area of a parallelogram compare to the area of a rectangle with the same base and height?

**Tip:** Remember, for parallelograms, the height is always the perpendicular distance from the base to the opposite side, not the slant height.

Find the perimeter and area of the parallelogram shown in the image with a base of 18 ft, side length of 9 ft, and height of 4 ft.

Learn how to find the perimeter and area of a parallelogram with a base of 18 ft, side length of 9 ft, and height of 4 ft. This tutorial covers key geometry concepts and provides step-by-step instructions for solving the problem. Suitable for middle school students.

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