The dimensions of a 7 - cm by 2 - cm rectangle are multiplied by 3. how is the area affected?

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.