<PRE><B>Question 941040</B>
 perimeter of rectangle = 460 ft
 let width be x ft
If the length of the garden is 10 ft. less than 3 times its width
 then length  = 3*x-10
  formula: perimeter of rectangle =2( length+width)
    but perimeter = 460 ft
   460 = 2( (3x-10)+x)
 460= 2(3x-10+x)
 460= 2( 4x-10)
  divife with  on both sides
{{{ 460/2 =2(4x-10)/2}}}
 {{{230= 4x-10}}}
   add 10 on both sides
230+10 =4x-10+10
 240= 4x
   divide with 4 on both sides
{{{ 240/4 =4x/4}}}
  {{{ 60= x}}}
Hence width (x)= 60 ft
 length  =3*60-10
      =180-10
 =170 ft
length = 170 ft
Result : length =170 ft width =60 ft
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