Answered

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The area of the concrete pathway is 350m^2 and it's perimeter is 90m. What is the length of the pathway?

Sagot :

let l  =  length of pathway
& w = width of of pathway
then 2x + 2y = 90  >  2(x+y) =90    >  x+y = 45    >  perimeter of rectangle
                                                              x =  45-y
and     xy    =  350    >      area of rectangle
         ( 45-y)(y) =  350
           45y-y² -350 = 0            /  . -1
           y² - 45y +350 = 0
       ( y -10)(y-35) = 0
         y = 10    or y =  35
so the length is 35m  &
  the width is 10m