Quadrilateral Formulas

 

Quadrilateral Formulas

There are two basic formulas for quadrilaterals, that are:

  • Area 
  • Perimeter

Area of Quadrilateral

The area of the quadrilateral is the total space occupied by the figure. The area formula for the different quadrilaterals are given below:

Area of a ParallelogramBase x Height
Area of a RectangleLength x Width
Area of a SquareSide x Side
Area of a Rhombus(1/2) x Diagonal 1 x Diagonal 2 
Area of a Kite1/2 x Diagonal 1 x Diagonal 2

Perimeter of Quadrilateral

Perimeter is the total distance covered by the boundary of a 2d shape. Since we know the quadrilateral has four sides, therefore, the perimeter of any quadrilateral will be equal to the sum of the length of all four sides. If ABCD is a quadrilateral then, the perimeter of ABCD is:

Perimeter = AB + BC + CD + AD

Quadrilateral NamePerimeter
Square4 x Side
Rectangle2(Length + Breadth)
Parallelogram2(Base + Side)
Rhombus4 x Side
Kite2 (a + b), a and b are adjacent pairs 

Important Facts of Quadrilateral

  • A quadrilateral is a trapezoid or a trapezium if 2 of its sides are parallel to each other.
  • A quadrilateral is a parallelogram if 2 pairs of sides parallel to each other.
  • Squares and Rectangles are special types of parallelograms. Below are some special properties.– All internal angles are of “right angle” (90 degrees).– Each figure contains 4 right angles.– Sides of a square are of the same length (all sides are congruent) – Opposite sides of a rectangle are the same.– Opposite sides of a rectangle and square are parallel.
  • A quadrilateral is a rhombus, if
    • All the sides are of equal length-specified 2 pairs of sides are parallel to each other.
  • A kite is a special sort of quadrilateral, in which 2 pairs of adjacent sides are equal to each other.

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