How many times will the area of a rectangle increase if its length is increased by 4 times and its width is increased by 3 times?

The area of the rectangle is calculated by the formula S = a * b.

Let us calculate what the area of the triangle will be after increasing its sides by four times in width and three times in length. Let’s express this in the form of a formula.

S1 = (a * 4) * (b * 3) = 12 * (a * b)

Find out how many times the area of the rectangle will increase by dividing the new area S1 by the old S. We get:

S1 / S = 12 * (a * b) / (a * b) = 12 times.

Answer: The area of a rectangle with an increase in its length by 3 times and its width by 4 times will increase by 12 times.