Question 389215
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Hi,   the length of a plot is 5 meters longer than the width      
Let x  and (x+5m) represent the width and length respectively
  Area = width*length 
Question states*** 
  x(x+5m) = 500 m^2
 Solving for x
  x^2 + 5x - 500 = 0
factoring
(x+25)(x-20)= 0 Note:SUM of the inner product(25x) and the outer product(-20x) = 5x
(x+25)= 0
  x =-25  tossing out negative solution for the number of meters
 (x-20)= 0
x = 20m, the width.  Length is 25m    (20m + 5m)

CHECKING our Answer
 20m*25m = 500 m^2