The perimeter of the square is 28 cm What will be the area of the square if its side is lengthened by 2 cm.

Let the side of the square be equal to X cm. All sides of the square are equal. The perimeter of a square is equal to the sum of its sides:
P = X + X + X + X
P = 4 * X
4 * X = 28
X = 28/4
X = 7 cm.
Let Y be the side of an elongated square.
Y = X + 2
Y = 9 cm.
The area of a square is equal to the product of its sides:
S = Y * Y
S = 9 * 9
S = 81 sq. cm.
Answer: 81 sq. cm.