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# Area of a parallelogram on the coordinate plane

In math, we can find the area of a parallelogram by multiplying the base by the height. The base is one side, and the height is the distance from the base to the opposite side. So, if the base is 12 units and the height is 4 units, the area is 48 square units.

## Want to join the conversation?

• This is a great video; everything is explained very well, but the exercise does not have visual aid like how this is taught. That would be okay if it was explained how to solve without a visual grid, but it wasn't. Sal, could you please give an additional explanation on how to do this in your head? It's a bit confusing without it.
Much appreciated! :)

*Please don't misunderstand me, because it's not for me, but so that we can keep it emphasized and get this explained!
• ok I want
• no fair you get all these colors and tools and we don't
• Sal uses software that has tools he uses in his videos. You can also download the software if you wish. SmoothDraw3
• I'm so confused. The question doesn't let us do this
• Hey Dylan! I recommend choosing the exercise "Drawing polygons on the coordinate plane". There, you will see the coordinate plane. Place the coordinates, and solve! (do not press check, you are just clicking on that exercise for the plane)
• it told me to pause the video how long should i pause it for
• till you have the answer
• it doesn't help me :(
• Hi Ashley! I say use the coordinate planes provided in the exercise before. After placing the line segments, count the side measurements and multiply them. For example, polygon A = __ square units
• What about perimeter not area?
• I'm pretty sure you would still take the parallelogram and slide down the top triangular part until it is a rectangle. Then you would just count the outer part of the grid or do `2(L+W)` to get the answer.
PS: I know the post is from 5 years ago, I'm just trying to help everyone. Hope this helps!
• With the height, how is it 4? there was one square that was 1/2. shouldn't it be 3/2?
• Good question! Imagine taking the bottom triangular part of the parallelogram (like you cut it off) and moving it up, so you make a rectangle. Now you can see that the height is 4, and the area of a rectangle is just base * height.