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Published on January 8th, 2013 In category Education | Geometry | Maths

# Formulae for area of quadrilaterals

The following post provides the formulae for areas of the quadrilaterals such as Parallelogram, Square, Rhombus, Trapezium and a regular hexagon

For a parallelogram: The example of Parallelogram includes, Rectangle, Square, Rhombus and Rhomboid

• Area =Base x Height = Product of 2 slides x sine of included angles
• Diagonal bisect each other

For a Rectangle:

• Area = Length x Breadth
• Perimeter = 2 (Length + Breadth)
• Diagonal are equal and bisect each other

For a Square

• Area = (Side)2
• Perimeter = 4 x (side)
• Diagonal  = Sq root of (2) x Side
• Diameter of Inscribed circle = Side
• Diameter of Circumscribed circle = Diagonal
• Diagonal are equal and bisect each other at right angle (90o)
• Area = Half of (Diagonal)2

Rhombus

• Diagonal bisect each other
• Area = Half of d1 x d2

Kite

Area = Half of Product of Diagonal

Trapezium

Median = half of (Sum of Parallel Sides)

Area = Half of Sum of parallel Side x Height

Hexagon

• Perimeter = 6 x side