Respuesta :

Answer:

Step-by-step explanation:

The length of the swimming pool is 8m longer than it's width.

If we say L = length, W = width

From the information above, we can say

L= 8 + w

We are also told the area is 105 m squared.

Note:

Area of a Rectangle = Length x Width

105 =  (8 + w ) x w

[tex]105 = 8w + w^2\\[/tex]

Subtract 105 from both sides:

[tex]w^2 + 8w - 105 = 0[/tex]