Question 686039
1: Draw a diagram (a simple rectangle will do)
2: Identify what you want to know and give it a name (we want to find width, so let's make its name w)
3: Ask yourself, "What information do I have?"
---> You know that the Perimeter is 1110. Mathematically, you also know that the perimeter is just the sum of all the sides of a rectangle or square. Therefore, the equation for the perimeter (we will call it P) is P = L + L + w + w
(****L is equal to the length of the pool****)

So, if P = 1110 and P = L + L + w + w then 1110 = L + L + w + w 
Remember that because we will need it for later.

---> You also know that the pool is 30 meters longer than 6*w 
"Longer" is a keyword telling you that the you will need to add 30 to 6*x. 
This whole phrase is just another way of saying that the length of the pool is 30 meters longer than six times the width. 

So, now we know that L = 30 + (6*w).

Note: Cool. Now we know L, we know P and we have an equation. 
Remember P = L + L + w + w?

We have one equation and one unknown (which, in this case, is a recipe for success). 

4: Let's solve for w:

1110 = (30 + (6*w) ) + (30 + (6*w)) + w + w

Well, since we don't have any numbers outside of the parenthesis to distribute and the numbers inside of the parenthesis are in their simplest for we can re- write this as 

1110 = 30 + 6w +30 + 6w + w + w
Combine terms: 1110 = 60 + 14w
Subtract 60 from both sides: 1050 = 14w
Divide both sides by 14: 75 meters  = w