How many times will the perimeter and area of the rectangle increase if each side of it is increased by 4 times.

There is a rectangle. Suppose its sides are a and b.

Then the perimeter of the rectangle will be:

P (1) = (a + b) * 2 = 2 * a + 2 * b.

And the area of the rectangle is:

S (1) = a * b.

If each of the sides is increased by 4 times, then the sides of the enlarged rectangle will not be equal to a and b, but 4 * a and 4 * b, respectively.

P (2) and S (2) of the rectangle will be equal:

P (2) = (4 * a + 4 * b) * 2 = 4 * (a + b) * 2

S (2) = 4 * a * 4 * b = 16 * a * b

P (2): P (1) = 4

S (2): S (1) = 16