# Parallelogram

A Parallelogram is a flat shape with opposite sides parallel and equal in length.  Opposite sides are parallel Opposite sides are equal in length Opposite angles are equal (angles A are the same, and angles B are the same) Angle A and angle B add up to 180°, so they are supplementary angles.

Play with a Parallelogram:

NOTE: Squares, Rectangles and Rhombuses are all Parallelograms! ### Example:

A parallelogram where all angles are right angles is a rectangle!

## Area of a Parallelogram The Area is the base times the height: Area = b × h (h is at right angles to b)

### Example: A parallelogram has a base of 6 m and is 3 m high, what is its Area?

Area = 6 m × 3 m = 18 m2

## Perimeter of a Parallelogram

The Perimeter is the distance around the edges. The Perimeter is 2 times the (base + side length): Perimeter = 2(b+s)

### Example: A parallelogram has a base of 12 cm and a side length of 6 cm, what is its Perimeter?

Perimeter = 2 × (12 cm + 6 cm) = 2 × 18 cm = 36 cm

## Diagonals of a Parallelogram The diagonals of a parallelogram bisect each other.

In other words the diagonals intersect each other at the half-way point.