The sides of a rectangular field of 864 m2 are in the ratio of 3 : 2. Find the sides of the rectangle.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 36 and 24
Sides in the ratio 3 : 2 can be written as \(3x\) and \(2x\); their product is the area.
Area = length × breadth: \(3x\times2x=864\)
\(6x^2=864\)
\(x^2=144\)
\(x=12\)
Sides \(=3\times12=36\,\mathrm{m}\) and \(2\times12=24\,\mathrm{m}\)