The length of one pair of opposite sides of a square is increased by 5 cm on each side the ratio of the length and the breadth of the newly formed rectangle becomes 3 : 2. What is the area of the original square? Choose the correct choice from the following options:
A) 25 sq.cm	B) 81 sq.cm	C) 120 sq.cm	D) 225 sq.cm	E) None of these
Let original length of each side = x cm.   Then, its area = (x2)cm2.   Length of rectangle formed = (x + 5) cm   and its breadth = x cm.   ∴ x+5/x=3/2 ⇔ 2x + 10 = 3x ⇔ x = 10   ∴ Original length of each side = 10 cm and its area = 100 cm2   Answer None of these
<result>E</result>
The length of one pair of opposite sides of a square is increased by 5 cm on each side the ratio of the length and the breadth of the newly formed rectangle becomes 3 : 2. What is the area of the original square?