Let's figure this out by first finding the dimensions of the original rectangle, and then finding the dimensions of the new rectangle.
Original rectangle: Since the area of a rectangle is the length * width, the area of this rectangle is 7 * 2 = 14 square cm.
New rectangle: The new dimensions of this are 7*3 = 21 cm by 2*3 = 6 cm. To find the area, we multiply these two together. 21*6 = 126 square cm.
126 is 9 times greater than 14, so the area will be multiplied by 9.