To find the perimeter of the parallelogram, let's analyze the given information and solve the problem step-by-step:

1. Identify the dimensions provided:

   • The length of the top side of the parallelogram is labeled as $15$ inches.
   • The height of the parallelogram (indicated by the dashed line) is $4$ inches.
   • The shorter side (which is perpendicular to the height) is labeled as $5$ inches.

2. Understand the perimeter formula for a parallelogram: The perimeter $P$ of a parallelogram is given by: $P = 2 \times (\text{base} + \text{side})$ where the "base" is the longer side (15 inches) and the "side" is the shorter side (5 inches).

3. Calculate the perimeter: Substituting the values: $P = 2 \times (15 + 5) = 2 \times 20 = 40 \text{ inches}$

Therefore, the perimeter of the parallelogram is 40 inches.

Answer:

The correct answer is:

• 40

Would you like a further breakdown of any specific part, or do you have any questions?

Here are some related questions that build on this solution:

1. What is the area of the parallelogram based on the given dimensions?
2. How would the perimeter change if the base length was increased by 5 inches?
3. How can you find the perimeter if only one side and one angle are known?
4. What properties of parallelograms are essential to solving perimeter-related questions?
5. How would you solve for the perimeter of a parallelogram if only the diagonals are known?

Tip: In any parallelogram, opposite sides are equal in length, which makes finding the perimeter straightforward if you know the lengths of any two adjacent sides.