SOLUTION: The largest swimming pool in the world is in Casablanca. With a perimeter of 1110 meters this rectangular shaped pool is 30 meters longer than 6 times its width. How many meters wi

Question 686039: The largest swimming pool in the world is in Casablanca. With a perimeter of 1110 meters this rectangular shaped pool is 30 meters longer than 6 times its width. How many meters wide is it
Answer by sp75(12) (Show Source): You can put this solution on YOUR website!
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
RELATED QUESTIONS
The largest swimming pool in the world is in Casablanca. With a perimeter of 1110 meters... (answered by Alan3354)

Hi can please help me to solve this problem? Thank you for your time and efforts. Here is (answered by mananth)

The seawater Othlieb Pool in Casablanca, Morocco, is the largest pool in the world. With... (answered by ewatrrr,rasnana)

The world's largest swimming pool is the Orthlieb pool in Casablanca Morocco. the length... (answered by Fombitz)

A large swimming pool has a perimeter of 1,096 meters, this rectangular-shaped pool is 30 (answered by solver91311)

A large swimming pool has a perimeter of 1016 meters, this rectangular-shaped pool is 40... (answered by josgarithmetic)

A rectangular swimming pool is 10 meters longer than twice its width. Determine the... (answered by tiffany222,addingup)

The perimeter of a rectangular swimming pool is 42 meters. The length is 5 meters more... (answered by checkley79)

the perimeter of a rectangular swimming pool is 76 meters. the length is 6 meters more... (answered by MathLover1,macston)