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Area of a Rectangle

Concept Explanation

What is it?

The area of a rectangle is the amount of two-dimensional space it occupies. It is calculated by multiplying its length by its width. A rectangle is a quadrilateral with four right angles.

Why is it important?

Calculating the area of geometric shapes is a fundamental concept in mathematics and has numerous applications in programming. It's an excellent example for introducing user input, basic arithmetic operations, and displaying results.

Where is it used?

• Construction and Architecture: Calculating the floor area of rooms, the surface area for painting, or the amount of material needed.
• Graphic Design and Image Processing: Determining the size of images, canvas, or elements within a layout.
• Game Development: Calculating hitboxes, sprite areas, or terrain sizes.
• Manufacturing: Estimating material costs or production yields for rectangular components.

Real-world example

If you are planning to paint a rectangular wall, you need to know its area to calculate how much paint to buy. If the wall is 10 feet long and 8 feet high, its area is 80 square feet.

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Algorithm

1. Start.
2. Get the length (length) of the rectangle from the user.
3. Get the width (width) of the rectangle from the user.
4. Calculate the area: area = length * width.
5. Display the calculated area.
6. End.

Edge Cases: - Non-numeric input for length or width (handled by language-specific error mechanisms or explicit validation). - Zero or negative values for length or width: A rectangle cannot have zero or negative dimensions. The program should ideally handle these inputs by requesting valid dimensions.

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Implementations

Java (JDK 17)Python (3.10+)C (C99)Oracle (19c)

import java.util.Scanner;

public class RectangleArea {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);

        System.out.println("--- Area of a Rectangle Calculator ---");

        // Get length from user
        System.out.print("Enter the length of the rectangle: ");
        double length = scanner.nextDouble();

        // Get width from user
        System.out.print("Enter the width of the rectangle: ");
        double width = scanner.nextDouble();

        // Calculate the area
        double area = length * width;

        // Display the result
        System.out.println("\nThe area of the rectangle is: " + area);

        scanner.close();
    }
}

# --- Get user input ---
print("--- Area of a Rectangle Calculator ---")

# Get length from user
length_str = input("Enter the length of the rectangle: ")
length = float(length_str) # Convert string to float

# Get width from user
width_str = input("Enter the width of the rectangle: ")
width = float(width_str) # Convert string to float

# Calculate the area
area = length * width

# Display the result
print(f"\nThe area of the rectangle is: {area}")

#include <stdio.h>

int main() {
    float length; // Declare float variables for length, width, and area
    float width;
    float area;

    printf("--- Area of a Rectangle Calculator ---\n"); // Added \n

    // Get length from user
    printf("Enter the length of the rectangle: ");
    scanf("%f", &length);

    // Get width from user
    printf("Enter the width of the rectangle: ");
    scanf("%f", &width);

    // Calculate the area
    area = length * width;

    // Display the result
    printf("The area of the rectangle is: %.2f\n", area); // %.2f for 2 decimal places, Added \n

    return 0;
}

SET SERVEROUTPUT ON;
DECLARE
  length_val  NUMBER := &Enter_Length;
  width_val   NUMBER := &Enter_Width;
  area_val    NUMBER;
BEGIN
  DBMS_OUTPUT.PUT_LINE('--- Area of a Rectangle Calculator ---');
  DBMS_OUTPUT.PUT_LINE('Length: ' || length_val);
  DBMS_OUTPUT.PUT_LINE('Width: ' || width_val);

  area_val := length_val * width_val;

  DBMS_OUTPUT.PUT_LINE('Area of Rectangle: ' || area_val);
END;
/

Explanation

• Java: Uses Scanner to read double values for length and width. Calculates area using * operator.
• Python: Uses input() to get string values, float() to convert them. Calculates area directly. f-strings for output.
• C: Employs scanf("%f", ...) to read float values. Calculates area and uses printf("%.2f\n", ...) for formatted output.
• Oracle: Implemented in PL/SQL. Uses substitution variables for input. The NUMBER data type handles floating-point values. DBMS_OUTPUT.PUT_LINE displays the result.

Complexity Analysis

• Time Complexity: O(1) - The number of arithmetic operations and input/output calls is constant.
• Space Complexity: O(1) - A fixed number of variables are used.

Flowchart

graph TD
    A[Start] --> B[Get Length]
    B --> C[Get Width]
    C --> D[Calculate Area = Length * Width]
    D --> E[Display Area]
    E --> F[End]

Sample Dry Run

Step	Length	Width	Area	Description
Input	10.0	5.0	-	User enters 10.0 for length, 5.0 for width
Process	10.0	5.0	50.0	Area = 10.0 * 5.0 = 50.0
Output	-	-	50.0	Display "Area of Rectangle: 50.0"
End	-	-	-	Program terminates

Practice Problems

Easy

• Modify the program to calculate the perimeter of a rectangle.
• Calculate the area of a square.

Medium

• Add input validation to ensure positive numbers are entered for length and width.
• Write a program that calculates the area of a room with multiple rectangular sections.

Hard

• Implement a graphical program that allows users to draw a rectangle and displays its area.

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"The function of a good software is to make the complex appear simple." - Grady Booch