To find the perimeter of the parallelogram given in the image, we need to use the following information:

1. The base $b$ is 7 cm.
2. The height $h$ is 5 cm.
3. The area $A$ is 45 cm².

First, let's verify the given area using the formula for the area of a parallelogram:

$A = b \times h$

Plugging in the given values:

$45 = 7 \times 5$

Since $35 \neq 45$, the given area seems to be incorrect. However, assuming we still need to find the perimeter using the given dimensions, we need the lengths of the other sides of the parallelogram.

We need additional information to find the lengths of the non-parallel sides, but we can only calculate the perimeter if we know the lengths of all four sides. Typically, we would need the lengths of the sides or the angles to determine the slant height. If the parallelogram is a rectangle, the slant height equals the height. Otherwise, we would use trigonometric relations to find it.

Assuming it's a rectangle (to simplify calculations), the other side (height) is the same as given, but if not, we'd need more information.

If you have further information about the angle or slant height, it will help provide an accurate answer.

Would you like details or have any questions? Here are some relative questions:

1. Can you provide more information about the angles or side lengths of the parallelogram?
2. Are there any specific angles given for the parallelogram in another part of the question?
3. Is there any additional context or figure details that can be provided?
4. Could the given dimensions be rechecked or verified?
5. Is the parallelogram assumed to be a specific type (like a rectangle or rhombus)?

Tip: Always double-check given values and ensure all necessary dimensions or angles are provided to solve geometric problems accurately.