Program for Area Of Square after N-th fold

A square is a flat shape, in one plane, defined by four points at the four corners. A square has four sides all of equal length, and four corners, all right angles (90 degree angles). A square is a kind of rectangle.

Given a square of side and number of folds . The task is to find the area of square after **F-th** fold.

The folding of square is as follows:

- In 1st folding, fold the square from left to right side in the form a triangle.
- In 2nd folding, fold the square from up to down side.
- In 3rd folding, again fold the square from left to right side.
and so on.

**Examples:**

Input :N = 4, F = 2Output :2Explanation: Initially square side is 4 x 4 After 1st folding, square side becomes 4 x 2 After 2nd folding, square side becomes 2 x 2 Thus area equals 2 x 2 = 4.Input :N = 100, F = 6Output :156.25

**Approach**:

- Initially calculate the area of the square before folding.
- After each folding, the area of square reduces by half. That is,
**area = area/2**. - So, we finally divide the area of square by pow(2, F)

Below is the implementation of above approach:

## C++

`// CPP program to find` `// the area of the square` `#include <bits/stdc++.h>` `using` `namespace` `std;` ` ` `// Function to calculate area of square after ` `// given number of folds` `double` `areaSquare(` `double` `side, ` `double` `fold)` `{` ` ` `double` `area = side * side;` ` ` ` ` `return` `area * 1.0 / ` `pow` `(2, fold);` `}` ` ` `// Driver Code` `int` `main()` `{` ` ` `double` `side = 4, fold = 2;` ` ` ` ` `cout << areaSquare(side, fold);` ` ` ` ` `return` `0;` `}` |

## Java

`// Java program to find the area of the square` `class` `GFG` `{` ` ` ` ` `// Function to calculate area of square` ` ` `// after given number of folds` ` ` `static` `double` `areaSquare(` `double` `side,` ` ` `double` `fold)` ` ` `{` ` ` `double` `area = side * side;` ` ` ` ` `return` `area * ` `1.0` `/ Math.pow(` `2` `, fold);` ` ` `}` ` ` ` ` `// Driver Code` ` ` `public` `static` `void` `main(String []args)` ` ` `{` ` ` `double` `side = ` `4` `, fold = ` `2` `;` ` ` ` ` `System.out.println(areaSquare(side, fold));` ` ` `}` `}` ` ` `// This code is contributed` `// by aishwarya.27` |

## Python3

`# Python3 program to find the area ` `# of the square ` ` ` `# Function to calculate area of ` `# square after given number of folds ` `def` `areaSquare(side, fold) :` ` ` `area ` `=` `side ` `*` `side` ` ` `ans ` `=` `area ` `/` `pow` `(` `2` `, fold)` ` ` `return` `ans` ` ` `# Driver Code ` `if` `__name__ ` `=` `=` `"__main__"` `:` ` ` ` ` `side ` `=` `4` ` ` `fold ` `=` `2` ` ` `print` `(areaSquare(side, fold))` ` ` `# This code is contributed by Ryuga` |

## C#

`// C# program to find the area of the square` `using` `System;` ` ` `class` `GFG` `{` ` ` `// Function to calculate area of square` `// after given number of folds` `static` `double` `areaSquare(` `double` `side, ` ` ` `double` `fold)` `{` ` ` `double` `area = side * side;` ` ` ` ` `return` `area * 1.0 / Math.Pow(2, fold);` `}` ` ` `// Driver Code` `public` `static` `void` `Main()` `{` ` ` `double` `side = 4, fold = 2;` ` ` ` ` `Console.Write(areaSquare(side, fold));` `}` `}` ` ` `// This code is contributed` `// by Akanksha Rai` |

## PHP

`<?php` `// PHP program to find the area of the square` ` ` `// Function to calculate area of square ` `// after given number of folds` `function` `areaSquare(` `$side` `, ` `$fold` `)` `{` ` ` `$area` `= ` `$side` `* ` `$side` `;` ` ` ` ` `return` `$area` `* 1.0 / pow(2, ` `$fold` `);` `}` ` ` `// Driver Code` `$side` `= 4;` `$fold` `= 2;` `echo` `areaSquare(` `$side` `, ` `$fold` `);` ` ` `// This code is contributed by ajit` `?>` |

**Output:**

4

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