Square perimeter. If each side of a square is increased by x units then its perimeter is increased by how many units?

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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...

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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.

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