If a rectangular field is 16m long and 10m wide, there is a path of uniform width all around it having an area of 120 sq.m .What is the width of the path ?

• area=2*width*[length+breath-2(width)]
  suppose width is x
  120=2*x[10+16-2x]
  120=52x-4x^2
  4x^2-52x+120
  4x^2-40x-12x+120
  4x(x-10)-12(x-10)
  on solving
  x=10(ans)
  
• 12 years agoHelpfull: Yes(1) No(6)
• total area of rectangle field is 160 m sqr.
  and total area of rectangle field with a path all around it is 280 m sqr.
  now 280=28*10there is a all around path so it is not possible.
  now280=14*20
  the path is uniform.so if we add 4 with length and width of the field we get 20m and 14 m.
  so the width of the path is 4m.
  
• 12 years agoHelpfull: Yes(1) No(3)