If the diagonal and the area of a rectangle are 25 m and 168 m2, what is the length of the rectangle?
A. 17 m B. 31 m C. 12 m D. 24 m

• This can be found out only from the option
  The answer is 24m
  If the length is 24 m, the breadth would be 168/24=7
  Which satisfies to find out the diagonal 24^2+7^2=25^
• 12 years agoHelpfull: Yes(41) No(6)
• 17 m
  
  here
  l^2+b^2= 25^2 = 625
  l*b = 168
  l+b = Root ( 625 +2*168) = root 961 = 31
  l-b = Root ( 625-2*168) = root 189 = 17
  
  solving these eqns, we get l=24 and b=7.
  
  so option A.
  
• 12 years agoHelpfull: Yes(19) No(31)
• given,
  l*b = 168 and l^2 + b^2 = 25^2.
  now,
  l^2 + b^2 +2lb -2lb = 625 (adding and subtracting 2lb)
  so, (l+b)^2 = 625+336
  therefore, l+b = 31
  now,
  putting the value of b = 168/l in the above equation, we get,
  l = 7, 24
  hence l = 24 and b = 7 is the correct answer.thanks
• 8 years agoHelpfull: Yes(3) No(2)