Rectangle Area in Java
A rectangle's area in geometry is equal to the product of its length and width. It's one of the core ideas of geometry and comes up often in a variety of theoretical and real-world contexts.
The following formula can be used to find a rectangle's area:
Area is expressed as length * width.
Example 1:
Input: Length = 6, Width = 3
Output: Area = 6 * 3 = 18
Example 2:
Input: Length = 9, Width = 5
Output: Area = 9 * 5 = 45
Naive Approach
In the following straightforward method:
We specifically define the width and length of the rectangle within the code. Then, the area is calculated by multiplying the length and width. The output is the computed area.
Here's the implementation of the naive approach to calculating the area of a rectangle :
FileName:Rectangle.java
public class Rectangle
{
private double length;
private double width;
public Rectangle(double length, double width)
{
this.length = length;
this.width = width;
}
// Method to calculate area
public double calculateArea()
{
return length * width;
}
public static void main(String args[])
{
// Create a rectangle with a length of 5 and a width of 4
Rectangle rectangle = new Rectangle(6, 3);
// Calculate and print the area
System.out.println("Area of the rectangle: " + rectangle.calculateArea());
}
}
Output:
Area of the rectangle: 18.0
Complexity analysis: The naive approach to finding the area of a rectangle involves arithmetic operations, with the time complexity being O(1), constant time. That's due to the fact that the number of operations needed is independent of the size of the rectangle. The space complexity is O(1), as the only stored data is the length and width of the rectangle, which are constant space.
Optimized Approach
Developing a method that accepts the rectangle's length and width as inputs and returns the computed area would be an optimal way to find the area of a rectangle in Java. Then, the above technique can be called whenever necessary, offering reuse and flexibility. Better code organization and reusability are achieved by using the above method. It also makes the code easier to maintain and understand by separating the calculation logic from the main method.
Here's the implementation of the optimized approach to calculating the area of the rectangle :
FileName:Rectangle1.java
public class Rectangle1
{
public static void main(String args[])
{
double length = 6.0; // Length of the rectangle
double width = 3.0; // Width of the rectangle
double area = calculateRectangleArea(length, width);
System.out.println("The area of the rectangle is: " + area);
}
public static double calculateRectangleArea(double length, double width)
{
// Calculate area
return length * width;
}
}
Output:
The area of the rectangle is: 18.0
Complexity analysis: The optimized approach's time complexity is O(1), as the area calculation of a rectangle remains constant regardless of its size and length. The optimized approach's space complexity is O(1) due to its constant memory usage, ensuring the rectangle's length, width, and area remain constant regardless of input size.