The length of a rectangle is 1 more than five times the width. If the area is 130 square cm, find the dimensions of the rectangle.

• let width of rectangle be 'w'
  and length of rectangle be 'L'
  
  Given length is 1 more than 5times of width
  => L=5w+1.........(1)
  
  given area is 130sq.cm.
  =>(L)(w)=130
  =>(5w+1)(w)=130 (since L=5w+1)
  =>(5w^2)+w=130
  =>(5w^2)+w-130=0
  =>(5w^2)-25w+26w-130=0
  =>5w(w-5)+26(w-5)=0
  =>(w-5)(5w+26)=0
  => w= 5 or -26/5
  since width cannot be negative width =5
  =>L=5(5)+1
  =>L=26
  
  So the length of rectangle is 26.c.m.
  and width of rectangle is 5.c.m
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