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Let x be the width
      x+8 be the length

A = l · w = 105 m²
105 = x (x+8)

Solve for x,
105 = x² + 8x
0 = x² + 8x -105
0 = (x-7) (x+15)         [this will be true if either, or both  x-7 and x+15 equals 0]
x-7=0   ;    x+15=0
x=7       ;   x=-15       [use x=7 since a negative length is non-existent]

Therefore, the pool has width 7m and length 15m.
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