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## 6th grade

### Course: 6th grade > Unit 8

Lesson 1: Areas of parallelograms# Area of parallelograms

CCSS.Math:

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

## Intuition for why the area of a parallelogram is A, equals, b, h

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(116 votes)
- If it was carved it can’t have a number(1 vote)

- 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.(29 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.(2 votes)

- How come they did not put a multiplication sign, they just put
*bh*? shouldn't there be multiplication sign?(0 votes)- putting bh is the same as b • h or b x h(40 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.(5 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?(5 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.(7 votes)

- pls like this im doing a challenge trying to get every badge!!(7 votes)
- what do you do if they give you the number of the base(4 votes)
- you multiply it by the height like if there is 5 and the base is 3 do 5x3 or 3x5(0 votes)

- how do you make the area of any quadrilatarel(4 votes)
- Area = L x W. literally all you need to know, but if you don't know how to do the math, think of length as jumping, and that width is running, the same way my 5th-grade teacher taught me with coordinate and quadrant planes(0 votes)

- why is there a third number if we are just timing the base and height(6 votes)
- Hi,

That's an interesting question!

In many math tests and quizzes they often add a third number to a shape when we are calculating the area of the shape. The third number has nothing to do with the problem and is only there to confuse us.

I hope this helped!(2 votes)

- why does it not work if there are 3 numbers?(4 votes)