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Program to calculate area and perimeter of Trapezium
  • Last Updated : 22 Mar, 2021

A trapezium is a quadrilateral with at least one pair of parallel sides, other two sides may not be parallel. The parallel sides are called the bases of the trapezium and the other two sides are called it’s legs. The perpendicular distance between parallel sides is called height of trapezium.
 

Formula : 
 

Area of Trapezium : 0.5 * (a + b) * h
Perimeter of Trapezium : a + b + c + d

Examples : 
 

Input :  a = 5, b = 6, c = 4, d = 3, h = 8
Output : Area of Trapezium : 44
         Perimeter of Trapezium : 18

Input :  a = 10, b = 15, c = 14, d = 11, h = 21
Output : Area of Trapezium: 262.5
         Perimeter of Trapezium: 50

 



Below is the implementation of above formula : 
 

C++




// CPP program to find area
// and perimeter of trapezium
#include <bits/stdc++.h>
using namespace std;
 
// Function to calculate Area of trapezium
float areaTrapezium(float a, float b, float h)
{
    return (1.0 / 2 * (a + b) * h);
}
 
// Function to calculate perimeter of trapezium
float perimeterTrapezium(float a, float b, float c,
                                           float d)
{
    return (a + b + c + d);
}
 
// Driver function
int main()
{
    float a = 5, b = 15, c = 11, d = 4, h = 20;
    cout << "Area of Trapezium = " <<
                areaTrapezium(a, b, h) << endl;
    cout << "Perimeter of Trapezium = " <<
                perimeterTrapezium(a, b, c, d);
    return 0;
}

Java




// Java program to calculate area
// and perimeter  of Trapezium
 
public class GFG {
   
    // Function to calculate area of Trapezium
    public static float areaTrapezium (float a,
                                float b, float h)
    {
        return ((a + b) * h) / 2;
    }
     
    // Function to perimeter of Trapezium
    public static float perimeterTrapezium (float a,
                            float b, float c, float d)
    {
        return (a + b + c + d);
    }
 
     
 
// Driver function
public static void main(String args[])
{
 
    // a, b, c, d are four sides of Trapezium
    // and h is height between two parallel sides.
    float a = 5;
    float b = 15;
    float c = 11;
    float d = 4;
    float h = 20;
 
    // Printing value of  area.
    System.out.print("Area Of Trapezium : ");
    System.out.println(areaTrapezium (a, b, h));
     
    // Printing value of  Perimeter.
    System.out.print("Perimeter Of Trapezium : ");
    System.out.println(perimeterTrapezium (a, b, c, d));
}
 
}
 
// This code is contributed by "akanshgupta"

Python3




# Python3 code to find area
# and perimeter of trapezium
 
# Function to calculate
# Area of trapezium
def areaTrapezium (a, b, h):
    return (1.0 / 2 * (a + b) * h)
 
# Function to calculate
# perimeter of trapezium
def perimeterTrapezium (a, b, c, d):
    return (a + b + c + d)
 
# Driver function
a = 5
b = 15
c = 11
d = 4
h = 20
print("Area of Trapezium =",
      areaTrapezium(a, b, h))
 
print("Perimeter of Trapezium =",
      perimeterTrapezium(a, b, c, d))
 
# This code is contributed by "Sharad_Bhardwaj"

C#




// C# program to calculate area
// and perimeter of Trapezium
using System;
 
class GFG {
 
    // Function to calculate area of Trapezium
    public static float areaTrapezium (float a,
                                 float b, float h)
    {
        return ((a + b) * h) / 2;
    }
     
    // Function to perimeter of Trapezium
    public static float perimeterTrapezium (float a,
                            float b, float c, float d)
    {
        return (a + b + c + d);
    }
 
     
 
    // Driver function
    public static void Main()
    {
     
        // a, b, c, d are four sides of Trapezium
        // and h is height between two parallel sides.
        float a = 5;
        float b = 15;
        float c = 11;
        float d = 4;
        float h = 20;
     
        // Printing value of area.
        Console.Write("Area Of Trapezium : ");
        Console.WriteLine(areaTrapezium (a, b, h));
         
        // Printing value of Perimeter.
        Console.Write("Perimeter Of Trapezium : ");
        Console.WriteLine(perimeterTrapezium (a, b, c, d));
    }
 
}
 
// This code is contributed by "vt_m"

PHP




<?php
// PHP program to find area
// and perimeter of trapezium
 
 
// Function to calculate
// Area of trapezium
function areaTrapezium($a, $b, $h)
{
    return (1.0 / 2 * ($a + $b) * $h);
}
 
// Function to calculate
// perimeter of trapezium
function perimeterTrapezium($a, $b,
                            $c, $d)
{
    return ($a + $b + $c + $d);
}
 
// Driver Code
$a = 5; $b = 15;$c = 11;
$d = 4; $h = 20;
echo ("Area of Trapezium = ");
echo(areaTrapezium($a, $b, $h));
echo("\n");
echo( "Perimeter of Trapezium = ");
echo(perimeterTrapezium($a, $b, $c, $d));
 
// This code is contributed by vt_m.
?>

Javascript




<script>
 
// Javascript program to find area
// and perimeter of trapezium
 
// Function to calculate Area of trapezium
function areaTrapezium(a, b, h)
{
    return (1.0 / 2 * (a + b) * h);
}
 
// Function to calculate perimeter of trapezium
function perimeterTrapezium(a, b, c, d)
{
    return (a + b + c + d);
}
 
// Driver function
var a = 5, b = 15, c = 11, d = 4, h = 20;
document.write("Area of Trapezium = " + areaTrapezium(a, b, h)+"<br>");
document.write("Perimeter of Trapezium = " + perimeterTrapezium(a, b, c, d));
     
 
 
</script>

Output: 

Area of Trapezium = 200
Perimeter of Trapezium = 35

 

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