Parallelogram, Square, Rhombus, and Rectangle Calculator

Free Online Parallelogram, Square, Rhombus, and Rectangle Calculator

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Lines AC and DB are called diagonals.
Line ‘h’ is perpendicular to lines AB & DC and is called the height or altitude.

Parallelogram area = height × AB or DC
ALL PARALLELOGRAMS have the following properties:

• Both pairs of opposite sides are equal.
  • AB=DC and AD=BC
• Both pairs of opposite angles are equal.
  • ∠ ADC = ∠ ABC and ∠ DAB = ∠ DCB
• The diagonals bisect each other.
• Each diagonal forms 2 congruent triangles.
  • Δ ADC = Δ ABC and Δ DAB = Δ DCB

Three special parallelograms have the above 4 properties and some additional ones.
square-all sides are equal
-all angles are equal
-both diagonals are equal
-diagonals meet at right angles
rectangle: -all angles are equal
-both diagonals are equal
rhombus: -all sides are equal
-diagonals meet at right angles

Parallelogram Properties

A parallelogram is a quadrilateral with opposite sides that are parallel. It has unique properties like opposite sides being equal in length and opposite angles being equal in measure.

Square

A square is a type of parallelogram with all sides of equal length and all angles measuring 90 degrees. Its unique properties make it a special case.

Rhombus

A rhombus is another type of parallelogram, but it has all sides of equal length, just like a square. However, its angles are not necessarily 90 degrees.

Rectangle

A rectangle is a quadrilateral with four right angles. Its opposite sides are equal in length, making it different from a square.

Whether you’re calculating the area of a parallelogram, square, rhombus, or rectangle, understanding these shapes enriches your mathematical and practical knowledge.