# Hotmath

# Parallelograms: Area and Perimeter

A
**
parallelogram
**
is a
quadrilateral
in which both pairs of opposite sides are
parallel
.

It can be shown that opposite sides of parallelogram must be congruent , that opposite angles are also congruent , and that consecutive angles are supplementary .

The area of a parallelogram is given by the formula

,

where is the length of one base and is the height. (The figure below shows how to find the height of a parallelogram.)

The perimeter of a parallelogram is the sum of the lengths of its four sides.

For example, in the figure below, if is a parallelogram, then we know opposite sides are congruent, so and .

Therefore, the perimeter is or cm.