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### Area of a Parallelogram

```
Date: 01/07/99 at 16:44:39
From: Matthew Colon
Subject: Math

Do you know how to find the area of parallelograms?

Thanks!
```

```
Date: 01/08/99 at 08:55:28
From: Doctor Peterson
Subject: Re: Math

Hi, Matthew. Take a deck of cards and look at it on end:

-----------------------  ---
-----------------------   ^
-----------------------   | H
-----------------------   v
-----------------------  ---
|                     |
|<---------B--------->|

You should know the area of the rectangle you see: B times H, where B
is the length of the base, and H is the height.

Now slide the deck over so it looks like this:

-----------------------  ---
-----------------------    ^
-----------------------     | H
-----------------------      v
-----------------------  -------
|                     |
|<---------B--------->|

It still has the same base and the same height, and the area is still
the same since it's made of the same cards. So the area of a
parallelogram is the same as the area of a rectangle: B x H. The
difference is that you have to be very careful about measuring the
height, since it is not measured along the edge, but is perpendicular
to the base.

- Doctor Peterson, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
Elementary Geometry
Elementary Triangles and Other Polygons
Middle School Geometry
Middle School Triangles and Other Polygons

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