Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
(a)2.91 m
(b)3 m
(c)5.82 m
(d)None of these
Answer
Answer (as printed): B
Explanation
Area of the park $=(60 \times 40) \mathrm{m}^{2}=2400 \mathrm{m}^{2}$. Area of the lawn $=2109 \mathrm{m}^{2}$. ∴ Area of the crossroads $=(2400-2109) \mathrm{m}^{2}=291 \mathrm{m}^{2}$. Let the width of the road be $x$ metres. Then, $60 x+40 x-x^{2}=291 \Leftrightarrow x^{2}-100 x+291=0 \Leftrightarrow(x-97)(x-3)=0 \Leftrightarrow x=3 \text { [} x \neq 97 \text{]}$.