If each side of a square is increased by x units, the perimeter of the square is increased by 4x units. This is because the perimeter of a square is the sum of all four of its sides.

As an example, we have a square with sides of 1 unit...

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If each side of a square is increased by x units, the perimeter of the square is increased by 4x units. This is because the perimeter of a square is the sum of all four of its sides.

As an example, we have a square with sides of 1 unit each. Its perimeter is 4 units.

Now we add 1 unit to each side. Now each side is 2 units long. That means the perimeter is 8. By adding 1 unit to each side, we increased the perimeter by 4 units. This shows that adding x units to each side results in an increase of 4x units to the perimeter.

**If each side of a square is increased by x units, the perimeter of the square is increased by 4x units.**