while measuring area of a square plot an error 3% in excess is made while measuring the side of a square . The percentage of error in the calculated area of the square is
Option
a) 3.06%
b) 6.09%
c) 6%
d) 3%
e) none

• we know by double percentage product(PDPT):-
  % change = h1+h2+(h1*h2/100)...here, h1=h2=3(as length and breadth of a square is the same, so h1=h2)...
  by calculating we get % change=6.09%
• 10 years agoHelpfull: Yes(4) No(0)
• 6.09%
  let side be x then errored side=x+x*3/100=103x/100
  so errored area=1.0609x^2
  change in area=(1.0606-1.0000)x^2 then find percentage
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• dA/A*100=2*3=6
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• area proportional to square of side
  => error in area = 2*(error in side)
  => 6%
• 10 years agoHelpfull: Yes(0) No(2)
• according to PDPT
  %ERROR= a1+a2+(a1*a2/100)
  here square so sides all same a1=a2=3;
  substitute we get 6.09%
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• c) 6%
  A = a^2
  a = 3%
  log10A = log10(a^2)
  log10A = 2log10a
  log10A = 2*log103
  taking anti log
  A = 2*3
  A = 6%
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• ans is 6.09
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• ans is c) 6%
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