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

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Let the length of the square's side be A.

We know that the perimeter of the square equals the sum of all sides = 4* side.

==> Then, let the perimeter be P1.

P1 =  4A....................(1)

Now if the side length increased by X:

Then, the length sides = (x+A)

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Let the length of the square's side be A.

We know that the perimeter of the square equals the sum of all sides = 4* side.

==> Then, let the perimeter be P1.

P1 =  4A....................(1)

Now if the side length increased by X:

Then, the length sides = (x+A)

Then the perimeter (P2) is given by: 

P2 = 4(x+ A).

Open brackets.

   = 4x + 4A

But we know that P1 = 4A.

==> P2 = 4x + P1

Then, the perimeter will increase by 4x.

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