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.