Subject: General Aptitude · Chapter: Area · Exam: 2009 · Marks: · Difficulty:
A square park is surrounded by a path of uniform width 2 metres all around it. The area of the path is 288 sq. metres. Find the perimeter of the park.
Answer
Answer (as printed):
Explanation
Let the length of each side of the square park be $x$ metres. Then, area of the path $=\left[(x+4)^{2}-x^{2}\right] \mathrm{m}^{2}=(16+8 x) \mathrm{m}^{2}$. $$\begin{aligned} & 16+8 x=288 \Rightarrow 8 x=272 \Rightarrow x=34 \mathrm{m} . \\ & \therefore \text { Perimeter of the park }=(4 \times 34) \mathrm{m}=136 \mathrm{m} . \end{aligned}$$