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.
Area of a Parallelogram
The Area is the base times the height:
Area = b × h
(h is at right angles to b)
A parallelogram has a base of 9 m and is 2 m high, what is its Area?
Area = 9 m × 2 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+sl)
A parallelogram has a base of 24 cm and a side length of 12 cm, what is its Perimeter?
Perimeter = 2 × (24 cm + 12 cm) = 2 × 36 cm = 72cm
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.