The sides of the rectangle were reduced by 3 times. How will its area change? How many times?

The formula for the area of a rectangle is found by the formula:

S = a * b, where a and b are the sides of the rectangle.

Let side a be reduced by 3 times. Let’s write the area formula for the new rectangle:

S = 1/3 * a * b

Let’s compare the areas of the rectangles:

S1 / S2 = a * b / 1/3 * a * b

Let’s reduce some of the terms:

S1 / S2 = 3

Therefore, if you reduce the side of the rectangle by 3 times, then its area will decrease by 3 times.

Answer: the area of the rectangle will decrease by 3 times.