What is a Quadrilateral?
A quadrilateral is a polygon of four sides with an internal angle total of 360 degrees.
What are the Characteristics of a Quadrilateral?
Below listed are some standard yet important properties of quadrilateral:
Steps to Determine the Area of a Quadrilateral
The area of any quadrilateral can be measured using the following three steps:
Step 1: Construct a diagonal AC that will connect the two opposite vertices of a quadrilateral ABCD.
Step 2: Draw a perpendicular line on the diagonal AC from the vertices B and D. The heights of each triangle are these perpendicular lines.
Step 3: Area of the quadrilateral ABCD = Area of △ABC + Area of △ACD. Therefore, the area of quadrilateral ABCD = (½ × AC × BK) + (½ × AC× DL), here K and L are the diagonal perpendiculars drawn from B and D vertices.
Different Types of Quadrilaterals
Fundamentally, there are six different types of quadrilaterals in this world. We encounter them in our day-to-day life. With different physical states as well as properties, the six distinct quadrilaterals are mentioned below:
Formulas to calculate the area of different types of Quadrilateral
The formula for finding the area of different quadrilaterals is also varied. Therefore, let us study the formulas in a tabular manner to find the area of different types of quadrilateral.
|Square||s×s = s2, where s is the length of each side of the square||Let s= 5 m, then Area of square = 5×5 =25 m2|
|Rectangle||Length (l) × Breadth (b)||Let b = 3 m, l= 10 m, then Area of Rectangle = 3 × 10 = 30m2|
|Parallelogram||Base (b) × Perpendicular Height (h)||Let b = 2 m, h= 6 m, then Area of Parallelogram = 2 × 6 = 12m2|
|Kite||½ ×D1×D2, where D1 and D2 are the diagonals of the kite||Let D1 = 20m and D2 = 12m, Area of a Kite = ½× 20× 12 = 120m2|
|Rhombus||½ × Product lengths of the diagonal (d1 X d2)||Let d1 = 7 m, d2= 3 m, then Area of rhombus = 7 × 3 = 21m2|
|Trapezium||(k + l)/2 × d, where k and l are lengths of the parallel sides of a trapezium and d is the perpendicular distance between the parallel sides.||Let k = 5m, l= 11m and d = 2m, then Area of trapezium = (5+11)/2×2 = 4m2|