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## Get ready for 7th grade

### Unit 5: Lesson 2

Area of parallelograms and triangles# 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?

- this is confusing(3 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.(9 votes)

- How come they did not put a multiplication sign, they just put
*bh*? shouldn't there be multiplication sign?(5 votes)- putting bh is the same as b • h or b x h(39 votes)

- how do you make the area of any quadrilatarel(10 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?(11 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.(3 votes)

- why is there a third number if we are just timing the base and height(9 votes)
- There isn't a third number.(3 votes)

- what do you do if they give you the number of the base(6 votes)
- If you are given the number of the base, you should be given the number of the height. You then multiply, remember, bh is the same as b * h , or b x h.(3 votes)

- i want to kill myself doing this math(11 votes)
- how in the world do i get the base and the height(8 votes)
- You multiply the base by the height! bh is the same as b * h , or b x h.(3 votes)

- Can you do that with every number(3 votes)
- yes once you know the base and height it is easier but when you need to find the base or height it is harder(3 votes)

- i dont understand why people think it different answers to both(3 votes)