The dimensions of a rectangular field when extended by 6 metres are in the ratio of 4 : 3 and when decreased by 6 metres are in the ratio of 2 : 1. Find the dimensions of the field.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 18 metres, 12 metres.
Let the original length = L meters and the breadth = B meters
(L + 6)/(B + 6) = 4/3 ⇒ 3L - 4B = 6 .....(1)
(L - 6)/(B - 6) = 2/1 ⇒ L - 2B = -6 .....(2)
From (1) and (2), we get
Length (L) = 18 meters
Breadth (B) = 12 meters