**Area of a quadrilateral :**

Here 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.

Formula:

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. Here 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

Related Topics

- 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

After having gone through the stuff given above, we hope that the students would have understood "Area of quadrilateral"

Apart from the stuff given above, if you want to know more about "Area of a quadrilateral", __please click here.__

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**