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### Course: 7th grade foundations (Eureka Math/EngageNY)>Unit 6

Lesson 3: Topic D: Foundations

# 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

Find the area of the parallelogram.
square units

## Practice problem 2

Find the area of the parallelogram.
square units

## Want to join the conversation?

• why does it not count when the number is curve
• If it was carved it can’t have a number
• 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?
• 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.
• How come they did not put a multiplication sign, they just put bh? shouldn't there be multiplication sign?
• putting bh is the same as b • h or b x h
• 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?
• 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.
• the formula is b × h=A right?
• yes and you can also watch the video again if you need some more help
• this is confusing
• 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.
• how do you figure out the area of a circle?
• pie2 times the diameter
• why don't you just multiply the length by the height
• you do, but the angled line isn't its height