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The formula for either polygon is multiply any base by the height of the figure perpendicular to that base; furthermore, you can see the similarity by making dotted lines inside the parallelogram so that it forms two triangles on the sides and a rectangle the middle. Now you could find the areas of the triangles and the rectangle and add them to find it is the same as if you take the base times the height or you can move one triangle to the other side next to the second triangle and you will see that it makes the parallelogram into a rectangle which is why finding the area is the same formula. Also, imagine taking a rectangle and pushing two bases together without breaking the figure. You will have changed the angles but all the sides will have stayed the same. Now just think has the amount of space inside the figure changed, no.

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Q: How is finding the area of a parallelogram like finding the area of a rectangle the same?
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