Area of the biggest possible rhombus that can be inscribed in a rectangle

Given a rectangle of length l and breadth b, the task is to find the largest rhombus that can be inscribed in the rectangle.

Examples:

Input : l = 5, b = 4
Output : 10

Input : l = 16, b = 6
Output : 48

From the figure, we can see, the biggest rhombus that could be inscribed within the rectangle, will have its diagonals equal to the length & breadth of the rectangle.
So, Area of rhombus, A = (l*b)/2

Below is the implementation of the above approach:

C++

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// C++ Program to find the the biggest rhombus
// which can be inscribed within the rectangle
#include <bits/stdc++.h>
using namespace std;
  
// Function to find the area
// of the biggest rhombus
float rhombusarea(float l, float b)
{
    // the length and breadth cannot be negative
    if (l < 0 || b < 0)
        return -1;
  
    // area of the rhombus
    return (l * b) / 2;
}
  
// Driver code
int main()
{
    float l = 16, b = 6;
    cout << rhombusarea(l, b) << endl;
    return 0;
}

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Java

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// Java Program to find the the 
// biggest rhombus which can be 
// inscribed within the rectangle
import java.io.*;
  
class GFG 
{
  
// Function to find the area
// of the biggest rhombus
static float rhombusarea(float l,
                         float b)
{
    // the length and breadth
    // cannot be negative
    if (l < 0 || b < 0)
        return -1;
  
    // area of the rhombus
    return (l * b) / 2;
}
  
// Driver code
public static void main (String[] args) 
{
    float l = 16, b = 6;
    System.out.println(rhombusarea(l, b));
}
}
  
// This code is contributed
// by inder_verma

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Pyhton3

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# Python 3 Program to find the the biggest rhombus
# which can be inscribed within the rectangle
  
  
# Function to find the area
# of the biggest rhombus
def rhombusarea(l,b):
    # the length and breadth cannot be negative
    if (l < 0 or b < 0):
        return -1
  
    # area of the rhombus
    return (l * b) / 2
  
# Driver code
if __name__ == '__main__':
    l = 16
    b = 6
    print(rhombusarea(l, b))

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C#

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// C# Program to find the the 
// biggest rhombus which can be 
// inscribed within the rectangle
using System;
  
class GFG 
{
  
// Function to find the area
// of the biggest rhombus
static float rhombusarea(float l,
                        float b)
{
    // the length and breadth
    // cannot be negative
    if (l < 0 || b < 0)
        return -1;
  
    // area of the rhombus
    return (l * b) / 2;
}
  
// Driver code
public static void Main () 
{
    float l = 16, b = 6;
    Console.WriteLine(rhombusarea(l, b));
}
}
  
// This code is contributed
// by shs

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PHP

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<?php
// PHP Program to find the the 
// biggest rhombus which can be
// inscribed within the rectangle
  
// Function to find the area
// of the biggest rhombus
function rhombusarea($l, $b)
{
    // the length and breadth 
    // cannot be negative
    if ($l < 0 || $b < 0)
        return -1;
  
    // area of the rhombus
    return ($l * $b) / 2;
}
  
// Driver code
$l = 16; $b = 6;
echo rhombusarea($l, $b) . "\n";
  
// This code is contributed 
// by Akanksha Rai(Abby_akku)

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Output:

48


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