The perimeter of the square is 28 cm, which will be equal to the area of the square if its side is lengthened by 2 cm.

From the problem statement, we know the perimeter of the square. It is equal to 28 cm. In order to find what the area of the square will be, if its side is lengthened by 2 cm, let’s first of all find the side of the square with the indicated area.

Let’s remember the formula for finding the area of a square.

S = a ^ 2; where a is the side of the square.

Find the side of the square:

a ^ 2 = 28.

a = √28 = 2√7.

Now we will find the side of the square, which should be 2 cm larger than the side with the indicated perimeter.

a1 = 2√7 + 2 = 4√7 cm.

We are looking for the area of a square with a given side:

S = a ^ 2 = (4√7) ^ 2 = 16 * 7 = 112 cm2.