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### Course: 6th grade > Unit 8

Lesson 1: Areas of parallelograms# Area of parallelograms

Understand how to find the area of a parallelogram and why it works.

## Intuition for why the area of a parallelogram is $A=bh$

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

*But wait! Why are the formulas the same?*Look what happens when we slide part of the parallelogram to the right.

Genius! We made the parallelogram into a rectangle.

**Key intuition:**We can make every parallelogram into a rectangle, which is why we use the same formula to find the area of a parallelogram and a rectangle.

## Practice problem 1

## Practice problem 2

## Want to join the conversation?

- why does it not count when the number is curve(155 votes)
- If it was carved it can’t have a number(35 votes)

- pls like this im doing a challenge trying to get every badge!!(168 votes)
- ok here the answer ....(4 votes)

- Would it still work if it wasn't drawn to scale? Also, are you not just multiplying the numbers, or is there more to it?

Please explain in full terms.(49 votes)- Another way of thinking why it will work is that a Parallelogram has 2 pairs of sides that are of equal length (Opposite sides have equal length).

Therefore, the parallelogram will always be able to fit into a rectangle when rearranged properly => Formula of finding the area of a rectangle will work as long as we are sure that the figure that we are handling is truly a parallelogram irregardless of whether it is drawn to scale or not.(21 votes)

- How come they did not put a multiplication sign, they just put
*bh*? shouldn't there be multiplication sign?(8 votes)- putting bh is the same as b • h or b x h(62 votes)

- this is confusing(0 votes)
- if there will be only two numbers multiply those or act like the shape provided can be turned into a square then do it like it is a square.(13 votes)

- I woke up in a new bugattii,

Khan Academy has helped my master my skills in Math SOOO much, and special thanks to my mom...(22 votes) - the formula is b × h=A right?(17 votes)
- yes and you can also watch the video again if you need some more help(6 votes)

- what is with the extra third number when practicing? like for example we are timesing the base and height (10 x 14 = 140) but there is a third number outside the parallelogram? we just basically ignore it?(12 votes)
- A third number will usually be measuring the length of one of the diagonal sides. I would have to see the specific example to be sure though.(15 votes)

- I just got a new phone because my parents told me I was so smart.(13 votes)
- how do you make the area of any quadrilatarel(6 votes)