Multiple choice general knowledge math & puzzles

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?

  1. 2.91 m

  2. 3 m

  3. 5.82 m

  4. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Area of park = 2400. Area of lawn = 2109. Area of roads = 2400 - 2109 = 291. Let width be w. Road area = 60w + 40w - w^2 = 291. This gives w^2 - 100w + 291 = 0. Solving for w, (w-3)(w-97)=0. Since w cannot be 97m in a 40m wide park, w = 3m.