Suppose you have Rectangle Objects defined
			

			by the following fields
			

			

			class Rectangle
			

			{
			

			private int left;        // x-coordinate of left edge of rectangle
			

			private int bottom;      //y-coordinate of bottom edge of rectangle
			

			private int width;       //width of rectangle
			

			private int height;      //height of rectangle
			

			

			the question is to write a class method, intersection, that has two Rectangle parameters.  The
			

			method should return the rectangle formed by the area common to the two rectangles.
			

			If they do not intersect, the method should return the rectangle whose instance fields are all zero.
			

			If the rectangles touch (ie if they have common points only on their perimeters), the method
			

			should return a "rectangle" of zero width or zero length.
			

			

			

			I am a first year university student and
			

			this question was posed by my professor.  I can solve this problem
			

			using about 30 if statements and 100 lines of code, however someone
			

			told me that it can be done in about 5 lines
			

			

			Any ideas would be greatly appreciated?