The length and breadth of a rectangular garden are in the ratio 3 : 2. A man walking along the boundary of the garden at 12 km/h completes one round in 6 minutes. What is the area of the garden?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 86,400 m2
Distance \(=\) speed \(\times\) time, and one round of the boundary is the perimeter. With the sides as \(3k\) and \(2k\), the perimeter gives \(k\).
12 km/h \(=12000\) m in 60 minutes \(=200\) m per minute
Perimeter \(=200\times6=1200\) m
\(2(3k+2k)=10k=1200\), so \(k=120\)
Length \(=360\) m, breadth \(=240\) m
Area \(=360\times240=86,400\) m2
