# Parallelogram

*(Jump to Area of a Parallelogram or Perimeter of a Parallelogram) *

A Parallelogram is a flat shape with opposite sides parallel and equal in length.

| and || show equal sides

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) | |

Angles "a" and "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 Area = b × h ( |

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

Area = 6 m × 3 m = **18 m ^{2}**

## Perimeter of a Parallelogram

The Perimeter is the distance around the edges.

The Perimeter is 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.

## Inside Any Quadrilateral

And there is a parallelogram in any quadrilateral.