According to the fact that the rectangle is cut into two squares in half, it is proved that the length of the rectangle is twice the width.

Then according to the sum of the perimeters of the two squares, it is 32cm longer than the original rectangle. The extra perimeter of two squares is two sides of the square, two sides are 32cm, and one side is 16cm. This side length is the width of the rectangle = 16 cm, and the length of the rectangle is 16*2=32 cm.

So the rectangular area =32* 16=5 12 cm2, and the perimeter =(32+ 16)*2=96 cm.