Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is
(a)15360 sq. m
(b)153600 sq. m
(c)30720 sq. m
(d)307200 sq. m
Answer
Answer (as printed):
Explanation
Perimeter = Distance covered in 8 min. $=\left(\frac{12000}{60} \times 8\right) \mathrm{m}=1600 \mathrm{m}$. Let length $=3 x$ metres and breadth $=2 x$ metres. Then, $2(3 x+2 x)=1600$ or $x=160$. Length = 480 m and Breadth = 320 m. ∴ Area $=(480 \times 320) \mathrm{m}^{2}=153600 \mathrm{m}^{2}$.