How will the area of a rectangle change if one side is enlarged 2 times and the other 4 times?

Let’s denote the sides of this rectangle by a and b. The area of the rectangle S is equal to the product of the sides of this rectangle:
S = a * b.
If one side is enlarged by 2 times, and the other by 4 times, then the sides of the resulting rectangle will be equal to 2 * a and 4 * b, and its area S1 is equal to
S1 = 2 * a * 4 * b = 8 * a * b.
Let’s find the ratio of the area of the resulting rectangle S1 to the area of the original rectangle S:
S1 / S = 8 * a * b / (a * b) = 8 /
So, the area of the rectangle will increase by 8 times.
Answer: the area of the rectangle will increase 8 times