Eden park is a cricket field while jubilee park is a football field in Mastnagar,all cricket fields are circular and football fields are rectangular of square.along the boundary of all fields there are advertisement displays.in mastnagar,the length of advertisement displays has to be same across all playing fields.Area of jubliee park is 468 sqm.the farthest distance between any two points in jubliee park football field is 10*(1.43)m.find the approximate area of eden park?

• If Area of jubliee park is 468 sqm.the farthest distance between any two points in jubliee park football field is 10sqrt(10),
  and l and b are length and breadth of rectangular park, then
  l^2+b^2 = (10sqrt(10))^2= 1000
  l*b = 468 sq mtrs
  (l+b)^2= 1000+2*468=1936
  l+b=44
  perimeter of rectangle= perimeter of circular field of Eden park = 2*44=88 mtrs
  radius of eden park = 88/2*pi= 44*7/22= 14 mtrs
  Area of eden park = Pi*r^2 = 14*14*22/7 = 44*14 = 616 sq mtrs
• 12 years agoHelpfull: Yes(63) No(6)
• Let us consider the football field to be rectangular with dimensions L* B. if the
  
  football field is square then we will get L = B.
  
  Given Area of jubilee park = 468 sqm.
  
  so, area of rect. park = LxB = 468 …… (i)
  
  Farthest distance of field is diagonal ;
  
  Therefore length of diagonal ; D = sqrt(L^2+B^2) = 10√10
  
  or L2+B2 = 1000 …….. (ii)
  
  Therefore; (L + B)^2= L^2+B^2 + 2LB = 1000 + 2 * 468 = 1936
  
  or , (L+B) = Sqrt(1936) = 44
  
  Perimeter of rect. Field = 2 (L + B) = 2 * 44 = 88m
  
  since Perimeter of rectangular field = Circumference of Circular field
  
  therefore, Circumference of Circular field = 2*pi*R = 88m
  
  Radius of circular field = 14m
  
  Therefore Area of circular field = 142pi = 616 sqm
• 9 years agoHelpfull: Yes(9) No(0)
• I think given data is wrong.
  In rectanglular field, area = length*breadth = 468 sq m
  
  At least one side is more than 21 mtrs .
  whereas the farthest distance between any two points in jubliee park football field is 10*(1.43)m ( given ).
  so given data is incorrect.
• 12 years agoHelpfull: Yes(5) No(10)
• that is 10sqrt(10)...now tell me the answ??
• 12 years agoHelpfull: Yes(2) No(6)
• mihir check this
  
  length * breath = 18*26 = 468
  and
  (10sqrt(10))^2 = length^2 + breath^2
  1000 = 18^2 + 26^2
• 11 years agoHelpfull: Yes(1) No(3)
• mr. swaraj why did write 1.43 instead of sqrt(10).
  what is nonsense . totaly time disturb
• 8 years agoHelpfull: Yes(1) No(1)
• If Area of jubliee park is 468 sqm.the farthest distance between any two points in jubliee park football field is 10sqrt(10),
  and l and b are length and breadth of rectangular park, then
  l^2+b^2 = (10sqrt(10))^2= 1000
  l*b = 468 sq mtrs
  (l+b)^2= 1000+2*468=1936
  l+b=44
  perimeter of rectangle= perimeter of circular field of Eden park = 2*44=88 mtrs
  radius of eden park = 88/2*pi= 44*7/22= 14 mtrs
  Area of eden park = Pi*r^2 = 14*14*22/7 = 44*14 = 616 sq mtrs
• 6 years agoHelpfull: Yes(0) No(0)