Number of rectangles which has the same area and perimeter?
A) only one
B) only 2
C) more than 2
D) None of the above

• The Correct option is: (C) more than 2
  Possibilities-
  1. If height=3 & width=6
  2. If height=4 & width=4
  3. If height=2.5 & width=10
  ..........................
  etc. etc.
• 8 years agoHelpfull: Yes(30) No(3)
• option c is correct
  area = perimeter
  l*b=2(l+b)
  l . b =2l +2b ( convert l or b in term of others ( b , l ) )
  l.b-2l=2b
  l (b-2) =2b
  therefore l = 2b/b-2 for all b > 2 and for rectangle l != b
  it is clear that for many value of b there exist l
  for ex
  b=3 ,l = 6
  b=5 ,l=10/3
  b=6 ,l=3
  b=7,l=2.8
  etc
• 8 years agoHelpfull: Yes(8) No(1)
• Only 1.
  Coz 8x3=6x4=24
  Here area equal but perimeter diff i.e 22 and 20. So ans is 1
• 8 years agoHelpfull: Yes(3) No(5)
• Ans - (C). How?
  Let the length and breadth of the rectangle be l and b respectively. So, we need to solve the equation:
  2*(l + b) = l*b, which gives:
  l = 2b/(b-2)
  Since, l > 0 and b > 0, b >2.
  Also, since l and b need not necessarily be integers, substitute different values of b to get different values of l.
• 8 years agoHelpfull: Yes(3) No(1)
• Ans is c
  
  L*b= 2(l+b)
  Lb-2l=2b
  L=2b/(b-2)
  So we can take any value of b greater than 2, for which we get the length such that area and perimeter becomes equal
• 7 years agoHelpfull: Yes(1) No(0)
• which one is correct?
  
• 8 years agoHelpfull: Yes(0) No(0)
• B)
  front 2 face
• 8 years agoHelpfull: Yes(0) No(0)
• Number of rectangles which has the same area and perimeter?( take square as a rectangle and case of rectangle will be counted as 1 case only eg (4,2) and (2,4) as same case)
  
  ans will be only 2
  there will be two case one will be square it self where one will be rectangle
• 8 years agoHelpfull: Yes(0) No(0)
• ans =b
  example if breadth=2 , length=3 and breadth =3 ,length=2 it has same area and perimeter
  if u take anything rather than that the length and perimeter is different
• 8 years agoHelpfull: Yes(0) No(0)
• ans is b.
  interchange the length and breadth of rectangle you will get two rectangles which have same area and perimeter.
• 8 years agoHelpfull: Yes(0) No(0)