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Course: 6th grade (Eureka Math/EngageNY) > Unit 5
Lesson 1: Topic A: Area of triangles, quadrilaterals, and polygons- Area of a parallelogram
- Area of parallelograms
- Area of parallelograms
- Finding height of a parallelogram
- Find missing length when given area of a parallelogram
- Area of a triangle
- Find base and height on a triangle
- Area of triangles
- Finding area of triangles
- Area of right triangles
- Area of triangles
- Triangle missing side example
- Find missing length when given area of a triangle
- Area of a triangle on a grid
- Area of a quadrilateral on a grid
- Area of quadrilateral with 2 parallel sides
- Area of trapezoids
- Area of trapezoids
- Area of kites
- Finding area by rearranging parts
- Area of composite shapes
- Decompose area with triangles
- Area of composite shapes
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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
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
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- why does it not count when the number is curve(154 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!!(163 votes)
- ok here the answer ....(5 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?(9 votes)
- putting bh is the same as b • h or b x h(61 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...(20 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)
- the formula is b × h=A right?(15 votes)
- yes and you can also watch the video again if you need some more help(6 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)