Hello everybody. I want to ask for some help. I need to type program that calculates areas of rectangle, triangle, circle and ellipse ( user input: rectangle = lower left corner point, length and width; triangle = top point, height, base; circle = radius and center point; ellipse = center point, width and length). Also i need to find if another point user typed in is in rectangle or triangle or circle or ellipse. So here is my code:

```
#include <iostream>
using namespace std;
double PI = 3.14159265;
double squareArea(double, double);
double triangleArea(double, double);
double circleArea (double);
double ellipseArea(double, double);
bool insideSquare(double, double, double, double, double, double);
bool insideCircle (double, double, double, double, double);
bool insideEllipse (double, double, double, double, double, double);
bool insideTriangle (double, double, double, double, double, double);
int main ()
{
int choice;
double width, length, base, height, radius, p_x, p_y, p_find_x, p_find_y;
cout << "Make a choice: \n";
cout << "1. Area & point for rectrangle\n2. Area & point for triangle\n3. Area & point for circle\n";
cout << "4. Area & point for ellipse." << endl;
cin >> choice;
switch (choice)
{
case 1:
cout << "Enter width and length (put space in between): ";
cin >> width >> length;
cout << "Area of a rectangle is: " << squareArea(width, length) << endl;
cout << "Enter a lower left point of rectangle: ";
cin >> p_x >> p_y;
cout << "Enter a point you want to find out, if it's inside the rectangle: ";
cin >> p_find_x >> p_find_y;
if (insideSquare(width, length, p_x, p_y, p_find_x, p_find_y) == true)
cout << "Point is in the rectangle.";
else
cout << "Point is not in the rectangle";
break;
case 2:
cout << "Enter base and height (put space in between): ";
cin >> base >> height;
cout << "Area of a trangle is: " << triangleArea(base, height) << endl;
cout << "Enter an upper point of triangle: ";
cin >> p_x >> p_y;
cout << "Enter a point you want to find out, if it's inside the triangle: ";
cin >> p_find_x >> p_find_y;
if (insideTriangle(base, height, p_x, p_y, p_find_x, p_find_y) == true)
cout << "Point is in the triangle.";
else
cout << "Point is not in the triangle";
break;
case 3:
cout << "Enter radius: ";
cin >> radius;
cout << "Area of a trangle is: " << circleArea(radius) << endl;
cout << "Enter a center point of circle: ";
cin >> p_x >> p_y;
cout << "Enter a point you want to find out, if it's inside the circle: ";
cin >> p_find_x >> p_find_y;
if (insideCircle(radius, p_x, p_y, p_find_x, p_find_y) == true)
cout << "Point is in the circle.";
else
cout <<"Point is not in the circle";
break;
case 4:
cout << "Enter width and length (put space in between): ";
cin >> width >> length;
cout << "Area of a ellipse is: " << ellipseArea(width, length) << endl;
cout << "Enter a center point of ellipse: ";
cin >> p_x >> p_y;
cout << "Enter a point you want to find out, if it's inside the ellipse: ";
cin >> p_find_x >> p_find_y;
if (insideEllipse(width, length, p_x, p_y, p_find_x, p_find_y) == true)
cout << "Point is in the ellipse.";
else
cout <<"Point is not in the ellipse";
break;
default:
cout << "Not the right choice.";
}
return 0;
}
//Functions of Area.
double squareArea (double width, double length)
{
double area = width * length;
return area;
}
double triangleArea (double base, double height)
{
double area = (base * height)/2;
return area;
}
double circleArea (double radius)
{
double area = (radius* radius)* PI;
return area;
}
double ellipseArea (double width, double length)
{
double area = (width / 2) * (length / 2) * PI;
return area;
}
//Functions of Point.
bool insideSquare(double width, double length, double p_x, double p_y, double p_find_x, double p_find_y)
{
if (p_find_x >= p_x && p_find_x <= width)
{
if (p_find_y >= p_y && p_find_y <= length)
{
return true;
}
}
return false;
}
bool insideCircle (double radius, double p_x, double p_y, double p_find_x, double p_find_y)
{
if (p_find_x >= p_x && p_find_x <= radius)
{
if (p_find_y >= p_y && p_find_y <= radius)
{
return true;
}
}
return false;
}
bool insideEllipse (double width, double length, double p_x, double p_y, double p_find_x, double p_find_y)
{
if (p_find_x >= p_x && p_find_x <= (width / 2))
{
if (p_find_y >= p_y && p_find_y <= (length / 2))
return true;
}
if (p_find_x <= p_x && p_find_x >= (width / 2))
{
if (p_find_y <= p_y && p_find_y >= (length / 2))
return true;
}
return false;
}
bool insideTriangle (double base, double height, double p_x, double p_y, double p_find_x, double p_find_y)
{
double aX, bX, cY, centerY;
aX = base - p_x;
centerY = cY - height;
if (p_find_x <= bX && p_find_x >= aX)
{
if (p_find_y <= cY && p_find_y >= centerY)
return true;
}
return false;
}
```