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

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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?

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Bebexoxoviz Bebexoxoviz · Answer 1

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