How will the perimeter of a square change if its side: a) increase by 2 times; b) decrease by 3 times.

P = a + b + c + d (ie the sum of all sides) Since all sides of the square are equal, we will designate any side as “a”. Hence: P = 4a 1) Having enlarged the side by 2 times, we get that P = 8a Therefore, the perimeter has increased 2 times 2) By reducing the side by 3 times, we will get: P = 4a / 3 Thus, we see that the perimeter has decreased by 3 times. From here we see that the relationship between the perimeter and the side is directly proportional (that is, as the side changes, so the perimeter changes).