In this page area of a quadrilateral we are going to see how to find the area in mensuration. First let us see the formulas to be used to find the area of any quadrilateral then we are going to see example problems and their properties.

Area of quadrilateral = (1/2) x d x (h₁ + h₂)

Here d -diagonal

h₁ & h₂ - perpendicular heights

Definition of quadrilateral:

The word quadrilateral can be separated as

Quad + lateral.

Quad means four and lateral means sides. A shape which is having four sides is generally called quadrilateral. The shapes parallelogram, rectangle, square, rhombus and trapeziums are one of the type of quadrilateral.

Properties of quadrilateral:

- Sum of interior angles is 360°
- It has four sides
- It has four vertices

Now we are going to some example problems based on these formulas

**Example 1 :**

Find the area of a quadrilateral which is having the diagonal is measuring 50 m and perpendicular height is measuring 10 m and 20 m

**Solution :**

Area of quadrilateral = (1/2) x d x (h₁ + h₂)

Here h₁ = 10 m, h₂ = 20 m and d = 50 m

Area of quadrilateral = (1/2) x 50 x (10 + 20)

= (1/2) x 50 x 30

= 25 x 30

= 750 m²

**Example 2 :**

Find the area of quadrilateral which is having the diagonal is measuring 20 m and perpendicular height is measuring 5 m and 7 m

**Solution :**

Area of quadrilateral = (1/2) x d x (h₁ + h₂)

Here h₁ = 5 m, h₂ = 7 m and d = 20 m

Area of quadrilateral = (1/2) x 20 x (5 + 7)

= (1/2) x 20 x 12

= 10 x 12

= 120 m²

- Perimeter of sector
- practice questions with solution
- Length of arc
- Practice questions on length of arc
- Perimeter of square
- Perimeter of parallelogram
- Perimeter of rectangle
- Perimeter of triangle
- Area of a circle
- Area of Semicircle
- Area of Quadrant
- Area of sector
- Area of triangle
- Area of equilateral triangle
- Area of scalene triangle
- Area of square
- Area of rectangle
- Area of parallelogram
- Area of rhombus
- Area of trapezium
- Area around circle
- Area of pathways
- Area of combined shapes

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