Equable Rectangles

Grab the white points at the corners of the rectangle to resize it. Can you find some rectangles with the area equal to the perimeter? How many such rectangles are there? The graph plots the area and perimeter of the rectangle vs the width of the rectangle. Choose a height, click "continuous plot" for both area and perimeter, change the width and see what happens. Clear all your points from the graph by clicking "clear plot".