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)
