If two opposite sides of a square are increased by 10 cm each, then the sides of previous and new figure are in the ratio of 11:12. What is the area of the original square?

A 11000 cm²

B 12100 cm²

C 22010 cm²

D 44100 cm²

E None of these

Correct Answer: Option B

Let the original side of the square be X cm, then new sides of the new figure would be X cm and X+10 cm.

Now, new ratio of the sides = X : X + 10,

⇒ 11 : 12 = X : X + 10,

Solving, X = 110 cm.

∴ Side of the original square = 110 cm.

∴ Area of the original square = multiplication of both sides = 110 × 110 = 12100 cm².