The length and the breadth of a rectangle are in the ratio of 3 : 2 respectively. If the sides of the rectangle are extended on each side by 1 metre, the ratio of length to breadth becomes 10 : 7. Find the area of the original rectangle in square metres. Choose the correct choice from the following answers:  A) 256  B) 150  C) 280  D) Data inadequate  E) None of these
Let the length and breadth be l and b respectively.   l⁄b = 3⁄2 or l = 3⁄2b .....(i)   l+1/b+1=10/7 or 7l - 10b = 3 .....(ii)   From eq. (i)   10.5b – l 0b = 6 or, 0.5b = 3 or, b = 6 and l = 9   Area = l × b = 6 × 9 = 54 m2   Answer None of these
<result>E</result>
The length and the breadth of a rectangle are in the ratio of 3 : 2 respectively. If the sides of the rectangle are extended on each side by 1 metre, the ratio of length to breadth becomes 10 : 7. Find the area of the original rectangle in square metres.