A rectangular Box 60 m long and 40 m wide has two concrete crossroads running in the middle of the box and rest of the box has been used as a lawn. The area of the lawn is 2109 sq. m. what is the width of the road? Choose the most appropriate option.
A) 3 m
B) 4 m
C) 5 m
D) 6 m
E) 2 m
Total area of cross roads=60x+40x−x2   But total area of the cross roads =291 m2   Hence,   60x+40x−x2=291   ⇒100x−x2=291   ⇒x2−100x+291=0   ⇒(x−97)(x−3)=0   ⇒x=3   3 mNSWER:3 m
<result>A</result>
A rectangular Box 60 m long and 40 m wide has two concrete crossroads running in the middle of the box and rest of the box has been used as a lawn. The area of the lawn is 2109 sq. m. what is the width of the road?