How will the area of the rectangle change if the base and its height are increased by 3 times?

To calculate the area of a rectangle, you need to multiply its length by width. In our case, the base is the length, and the width is the height.
Let the base be x, the height – y, then the area of the rectangle S = xy.
After increasing the parameters, the base of the new rectangle is 3x, the height is 3y. Accordingly, its area (we write it down S1):
S1 = 3x * 3y = 9xy.
To find out how the area of the rectangle has changed, find the result of dividing S1 by S:
S1 / S = 9xy / xy = 9.
Answer: the area of the rectangle has increased 9 times.