Answered

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The length of a swimming pool is 8 m longer than its width and the area is 105m2?

Sagot :

Jeremiaidn
Given:
            Length = 8m longer than its width = w + 8
            Width  = w
             Area = 105 m²
   ( you can already assume that it is a rectangle so its Area is Length x Width)

Asked:
         ( I assumed its the dimensions of the swimming pool)
Solution:
              Area = LW
               105  = (w + 8)w
               105  = w² + 8w
                   0  = w² + 8w - 105
(Factor out)
          
        (w + 15) ( w - 7) = 0
          w + 15 = 0
           w = - 15

          w - 7 = 0
           w  =  7
Since, there is no negative in dimensions so -15 is considered as 15.

Therefore, the length is 15 m, and the width is 7 m.
( dimensions of the swimming pool)