The following diagram shows the graph of y=4−x2, 0≤x≤2 and rectangle ORST. The rectangle has a vertex at the origin O, a vertex on the y-axis at the point R(0,y), a vertex on the x-axis at the point T(x,0) and a vertex at point S(x,y) on the graph.
Let P represent the perimeter of rectangle ORST.
Let A represent the area of rectangle ORST.