Java Program to Find Total Area Two Rectangles Overlap

Area of overlapping rectangles java – Java Program to Find Total Area Two Rectangles Overlap

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In the previous article, we have seen Java Program to Check if Line Passes Through the Origin

Area of overlapping rectangles java: In this article we will discuss about Java Program to Find Total Area of Two Overlapping Rectangles.

Java Program to Find Total Area Two Rectangles Overlap

Area of two rectangles: Before going into the program directly, let’s first know hoe we can get the total area of two overlapping rectangle.

Explanation:

We can add the area of both the rectangles first, then we can subtract the area of intersecting part as it is present twice.

Total Area of Two Overlapping Rectangle =
(Area of First rectangle + Area of Second rectangle) - Area of Intersecting part

Let’s see different ways to see how to find total area of two overlapping rectangles.

Method-1: Java Program to Find Total Area Two Rectangles Overlap By Using Static Value

Approach:

  • Declare the  points.
  • Then call the totalArea() method where we will get the total area of two overlapping rectangle.
  • Inside method we will find area of first rectangle and area of second rectangle and intersecting part.
  • Then subtract the area of intersecting part from the addition of both area of first rectangle and second rectangle.
  • Then Print the result.

Program:

// JAVA Code to Java Program 
//to Find Total Area of Two Overlapping Rectangles 

public class Main
{ 
    //totaArea() method to find total area of two overlapping rectangles
    public static int  totalArea(int l1x,int l1y,int l2x,int l2y,int r1x,int r1y,int r2x,int r2y) 
    { 
        // Area of first Rectangle 
    	int firstArea = Math.abs(l1x - r1x) * Math.abs(l1y - r1y); 
      
    	// Area of second Rectangle 
    	int secondArea = Math.abs(l2x - r2x) * Math.abs(l2y - r2y); 
  
    // Length of intersecting part 
    int intersectingArea = (Math.min(r1x, r2x) - Math.max(l1x, l2x)) *  
                           (Math.min(r1y, r2y) - Math.max(l1y, l2y)); 

  
    //returning the totallength of overlapping rectangles
    return (firstArea + secondArea - intersectingArea); 
    } 
      
    /* Driver program to test above function */
    public static void main(String[] args)  
    { 
        //Points are declared
    int l1x=2;
    int l1y=1;
    int l2x=3;
    int l2y=2;
    int r1x=5;
    int r1y=5;
    int r2x=5;
    int r2y=7;
    //Calling totaArea() method 
    System.out.println("Total Area: " +totalArea(l1x,l1y,l2x,l2y,r1x,r1y,r2x,r2y)); 
    } 
}

Output:

Total Area: 16

Method-2: Java Program to Find Total Area Two Rectangles Overlap By User Input Value

Approach:

  • Take input of points.
  • Then call the totalArea() method where we will get the total area of two overlapping rectangle.
  • Inside method we will find area of first rectangle and area of second rectangle and intersecting part.
  • Then subtract the area of intersecting part from the addition of both area of first rectangle and second rectangle.
  • Then Print the result.

Program:

import java.util.*;

// JAVA Code to Java Program 
//to Find Total Area of Two Overlapping Rectangles 

public class Main
{ 
    //totaArea() method to find total area of two overlapping rectangles
    public static int  totalArea(int l1x,int l1y,int l2x,int l2y,int r1x,int r1y,int r2x,int r2y) 
    { 
        // Area of first Rectangle 
    	int firstArea = Math.abs(l1x - r1x) * Math.abs(l1y - r1y); 
      
    	// Area of second Rectangle 
    	int secondArea = Math.abs(l2x - r2x) * Math.abs(l2y - r2y); 
  
    // Length of intersecting part 
    int intersectingArea = (Math.min(r1x, r2x) - Math.max(l1x, l2x)) *  
                           (Math.min(r1y, r2y) - Math.max(l1y, l2y)); 

  
    //returning the totallength of overlapping rectangles
    return (firstArea + secondArea - intersectingArea); 
    } 
      
    /* Driver program to test above function */
    public static void main(String[] args)  
    {
        //Scanner class object created
    	Scanner sc=new Scanner(System.in);
    	//Takinginput of points
    	System.out.println("Enter x,y index of L1 : ");
    	int l1x=sc.nextInt();
    	int l1y=sc.nextInt();
    	System.out.println("Enter x,y index of L2 : ");
    	int l2x=sc.nextInt();
    	int l2y=sc.nextInt();
    	System.out.println("Enter x,y index of R1 : ");
    	int r1x=sc.nextInt();
    	int r1y=sc.nextInt();
    	System.out.println("Enter x,y index of R2 : ");
    	int r2x=sc.nextInt();
    	int r2y=sc.nextInt();
    
    	//Calling totaArea() method 
    	System.out.println("Total Area: " +totalArea(l1x,l1y,l2x,l2y,r1x,r1y,r2x,r2y)); 
    } 
}

Output:

Enter x,y index of L1 : 2 1
Enter x,y index of L2 : 3 2
Enter x,y index of R1 : 5 5
Enter x,y index of R2 : 5 7
Total Area: 16

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