Problem #16
Solution Source Code
Code Overview
1. Header Files and Namespace:
<iostream>is included for input and output operations.<string>is included for potential future use (not used in this program).<cmath>is included to usesqrt()andpow()for mathematical calculations.using namespace std;allows the use of standard functions without prefixing them withstd::.
2. User Input Function (ReadNumbers)
- Uses reference parameters (
float &A, float &D) to modify the values directly. - Prompts the user to enter one side (A) and the diagonal (D) of a rectangle.
3. Area Calculation Function (RectangleAreaBySideAndDiagonal)
- Takes the side (A) and diagonal (D) as input.
- Uses the formula: Area=A×D2−A2\text{Area} = A \times \sqrt{D^2 - A^2}Area=A×D2−A2 This formula derives the missing side using the Pythagorean theorem and calculates the rectangle's area.
- Returns the computed area.
4. Output Function (PrintResult)
- Receives the computed area as a parameter.
- Prints
"Rectangle Area = [Area]".
5. Program Execution (main())
- Declares two float variables (
A, D) to store side and diagonal. - Calls
ReadNumbers()to get user input. - Calls
RectangleAreaBySideAndDiagonal()to compute the area. - Calls
PrintResult()to display the result. - Returns
0to indicate successful execution.
This structured explanation ensures clarity and ease of understanding.
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