In the parallelogram shown in Figure 1, h is a height because it is perpendicular to a pair of opposite sides called bases. One of the bases has been labeled b, and the nonbase remaining sides are each labeled a.
![](http://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_cliffsnotes/assets/18221.jpg)
Figure 1 A parallelogram with base and height labeled.
Finding the perimeter
The following formula is now apparent.
![](https://s3.amazonaws.com/dev-hmhco-vmg-craftcms-public/_cliffsnotes/assets/18200.jpg)
Finding the Area
In Figure , also notice that Δ WXV ≅ Δ TYZ, which means that they also have equal areas. This makes the area of
WXYT the same as the area of
XYZV. But A rectangle XYZV = bh, so A parallelogram XYTW = bh.That is, the area of a parallelogram is the product of any base with its respective height.
![](https://s3.amazonaws.com/dev-hmhco-vmg-craftcms-public/_cliffsnotes/assets/18201.jpg)
Example 1: Find the perimeter and area of Figure 2.
![](http://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_cliffsnotes/assets/18222.jpg)
Figure 2 Finding the perimeter and area of a parallelogram.
The figure is a parallelogram, so
![](https://s3.amazonaws.com/dev-hmhco-vmg-craftcms-public/_cliffsnotes/assets/18202.jpg)