Project 2: Maximizing Area of a Farmer Pen
- Author:
- Jake Feldt
Graphics 1: This sketch works because line AD is parallel and on top of the x-axis, and line CD is parallel and on top of the y-axis. Also, AB is perpendicular to AD, and BC is perpendicular to CD. The only free point, A, is representative of one side of the polygon, and the length of the other side of the polygon is dependent upon the length that A is set at. As the fixed point, B, is located along the line, y=140-x, this accurately represents the maximum possible area given the set dimensions of the pen perimeter.
Graphics 2: Point E has the coordinates of (the x value of coordinate A, the area of the polygon). This parabola as created by the trace of points represents the graph for maximum possible area of the polygon, or the farmer's pen. This parabola helps to identify the location for the dimensions of maximum area.