The ratio between length and breadth of a rectangle is 3 : 2. If the area of the rectangle is 96 cm2, then the length of the rectangle is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 12 cm
A ratio of 3 : 2 means the length and breadth are 3 and 2 times a common number; the area then fixes that number.
Assuming the length to be \(3k\) cm and the breadth \(2k\) cm:
Area: \(3k\times2k=6k^2=96\)
\(k^2=16\), so \(k=4\)
Length \(=3\times4=12\) cm (breadth 8 cm)