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# Java Program to Find the Area of a Trapezium

In this article, we will understand how to find the area of a trapezium. Trapezium is a type of quadrilateral that has at least one pair of side parallel to each other. The parallel sides of a trapezium are called bases and the non-parallel sides of a trapezium are called legs. It is also called a trapezoid.

The area of a trapezium is calculated using the formula −

(height/2 * (side_1 + side_2). i.e. Area = ½ x (sum of the lengths of the parallel sides) x perpendicular distance between parallel sides

Below is a demonstration of the same. Area of a trapezium with the length of the parallel sides a and b and the height of the trapezium h is given by −

**Input**

Suppose our input is −

side_1 = 5 side_2 = 6 height = 6

**Output**

The desired output would be −

Area of trapezium is: 33.0

## Algorithm

Step 1 - START Step 2 – Declare three integer values namely side_1 , side_2 and height. Declare a float value namely my_area. Step 3 - Read the required values from the user/ define the values Step 4 – Calculate the area of the trapezium using the formula (height/2 * (side_1 + side_2) and store the result Step 5- Display the result Step 6- Stop

## Example 1

Here, the input is being entered by the user based on a prompt. You can try this example live in ourcoding ground tool .

import java.util.Scanner; public class AreaOfTrapezium { public static void main(String args[]){ int side_1 , side_2 , height ; System.out.println("Required packages have been imported"); Scanner my_scanner = new Scanner(System.in); System.out.println("A reader object has been defined "); System.out.print("Enter the length of the first parallel side: "); side_1 = my_scanner.nextInt(); System.out.print("Enter the length of the first parallel side : "); side_2 = my_scanner.nextInt(); System.out.print("Enter the heigth of the trapezium : "); height = my_scanner.nextInt(); float my_area = (height/2 * (side_1 + side_2)); System.out.println("The area of trapezium is: " + my_area); } }

## Output

Required packages have been imported A reader object has been defined Enter the length of the first parallel side: 5 Enter the length of the first parallel side : 6 Enter the heigth of the trapezium : 6 The area of trapezium is: 33.0

## Example 2

Here, the integer has been previously defined, and its value is accessed and displayed on the console.

public class AreaOfTrapezium { public static void main(String args[]){ int side_1 = 5, side_2 = 6, height = 6; System.out.println("The sides and height of the trapezium is defined as " +side_1 + ", " + side_2 + " and " + height); float my_area = (height/2 * (side_1 + side_2)); System.out.println("The area of Trapezium is: " + my_area); } }

## Output

The sides and height of the trapezium is defined as 5, 6 and 6 The area of Trapezium is: 33.0

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