Respuesta :

Answer:

[tex]216=2w \times w[/tex]

Step-by-step explanation:

Assuming that the patio is a rectangle, we have

[tex]A= l\times w[/tex]

Where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

Now let's assume that the length of the patio is double than the width.

[tex]l=2w[/tex]

So, the equation that represents this problem is

[tex]216=2w \times w[/tex]

Answer:

x(x+6)=216

Step-by-step explanation:

It would actually be x instead of w because in the equation, they are using x's.  

The equation would then be solved by making the equation x^2+6x=216.

By completing the square using (b/2)^2, you would then get the width to be 12 and the length to be 18.

Hope this helps!