Why are the formulas for the area of a parallelogram and the area of a rectangle the same? Move the slider from left to right to see the parallelogram dissected and the pieces reassembled in the form of a rectangle.
- Rectangle And Parallelogram Similarities
- Parallelogram And Rectangle Differences
- Parallelogram And Rectangle Area
(Jump to Area of a Parallelogram or Perimeter of a Parallelogram)
- A rectangle is a parallelogram with equal angles. So, this means a rectangle has inherited all the properties of a parallelogram and in addition to that it is having all angles equal. Here, AB = CD and BC = AD. And ∠A =∠B = ∠C = ∠D (All angles are equal).
- In the diagram to the above, the parallelogram and rectangle share a vertex (D), one vertex of the rectangle (E) is on a side of the parallelogram, and one vertex of the parallelogram (C) is on a side of the rectangle. That is enough information to guarantee that the rectangle and parallelogram have equal area. Here’s an argument why.
- » parallelogram, rectangle, and rhombus » parallelogram and rectangle » rectangle only 2 See answers AnonymousHelper1807 AnonymousHelper1807 Answer: D. Step-by-step explanation: It's only a rectangle. It can not be a parallelogram neither a rhombus nor a square.
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:
Rectangle And Parallelogram Similarities
NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
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
Parallelogram And Rectangle Differences
Diagonals of a Parallelogram
The diagonals of a parallelogrambisect each other.
In other words the diagonals intersect each other at the half-way point.
Inside Any Quadrilateral
Parallelogram And Rectangle Area
And there is a parallelogram in any quadrilateral.