Question

A rectangular park 60 m long and 40 m wide has two concrete crosswords 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. 4.5 m
• D. None of these

Answer 1

The correct option is B 3 m

Area the park = (60 $\times$ 40) $m^2$ = 2400 $m^2$
Area of lawn = 2109 $m^2$
Therefore, Area of the crosswords = (2400 - 2109) $m^2$ = 291 $m^2$
Let the width of the road be x meters.
$60x+40x-x^2=291$
$\Rightarrow$ $x^2-100x+291=0$
$\Rightarrow$ (x-97) (x-3) = 0
$\Rightarrow$ x = 3