The following program is supposed to read the length and width of a rectangle from a file named input.txt and write the area and perimeter of the numbers to a file named output.txt. However, it fails to do so. Rewrite the program so that it accomplishes what it is intended to do. (Also, include statements to close the files.#include <iostream>using namespace std;int main(){double length, width;ofstream outfile;infile.open("input.txt");infile >> length >> width;outfile << "Area = " << length * width<< ", Perimeter = " << 2 * (length + width) << endl;return 0;}

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