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*.

**Figure 1 **A parallelogram with base and height labeled.

## Finding the perimeter

The following formula is now apparent.

## Finding the Area

In Figure *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.

**Example 1:** Find the perimeter and area of Figure 2

**Figure 2 **Finding the perimeter and area of a parallelogram.

The figure is a parallelogram, so