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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- 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)
- 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)
- 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)
- how in the world do i get the base and the height(8 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)