How many times will the perimeter of a square increase if its side is increased by 45%.

We denote the side of the square by A.

The perimeter of a square is equal to the sum of all its sides. We find this value:

A + A + A + A = 4A.

By condition, each side increased by 45%. Knowing that the percentage is one hundredth of the number, we first find the size of the side increase:

(A * 0.45) / 100 = 0.45A.

Find the side size:

A + 0.45A = 1.45A.

Find the perimeter of the new square:

1.45A + 1.45A + 1.45A + 1.45A + 5.8A.

We find how much the perimeter of the square has increased:

5.8A / 4A = 1.45.

Answer: The perimeter of the square has increased 1.45 times.