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? Choose the correct choice from the following options:
A) 2
B) 3.5
C) 3
D) 4
E) 5

Rationale: area of the park = ( 60 x 40 ) m 2 = 2400 m 2 . area of the lawn = 2109 m 2 . area of the crossroads = ( 2400 - 2109 ) m 2 = 291 m 2 . let the width of the road be x metres . then , 60 x + 40 x - x 2 = 291 x 2 - 100 x + 291 = 0 ( x - 97 ) ( x - 3 ) = 0 x = 3 . c )
Answer: C