From the scale drawing, the dimensions are 8 inches by 5 inches.
Let x represent the length of the shorter side of the rug. Given that the length of the longer side of the actual rug is 32 feet, it means that
8/5 = 32/x
By crossmultiplying, it becomes
8 * x = 5 * 32
8x = 160
x = 160/8
x = 20
Therefore, the area in square feet, of the actual rug is
32 * 20 = 640 ft^2