Question 937157
let width of plot of land be x meters
the length is 8 times its width
 hence length  = 8*x
            =8x
perimeter of land  = 40 m
 plot is in shape of rectangle 
perimeter of plot (rectangle)  =2(length+width)
             {{{ 40 = 2(8x+x)}}}
               40 =2(9x)
              40 =  18 x
    divide with 18 on both sides
      {{{ 40/18= 18x/18}}}
            {{{20/9 =x}}}
              hence width (x)=  20/9
      area  =  length* width
              ={{{ 8x*x}}}
             = {{{8x^2}}}
       but x= 20/9
  area  = {{{ 8*(20/9)^2}}}
   = {{{ 8*(20/9)*(20/9)}}}
     ={{{39.5}}}
result: area of plot of the land  = 39.5 m^2