SOLUTION: the swimming pool is 12 feet by 20 feet there is a 3 foot wide cement sidewalk all around the pool. what is the outside perimeter of the sidewalk? I think it's 88 feet? I think I h

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the swimming pool is 12 feet by 20 feet there is a 3 foot wide cement sidewalk all around the pool. what is the outside perimeter of the sidewalk? I think it's 88 feet? I think I h      Log On

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Question 359812: the swimming pool is 12 feet by 20 feet there is a 3 foot wide cement sidewalk all around the pool. what is the outside perimeter of the sidewalk? I think it's 88 feet? I think I hit the delete button and didn't what to so can some one help out thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since "the swimming pool is 12 feet by 20 feet ", the entire enclosure (including the walkway) has a length of 20+2*3=20+6=26 feet and has a width of 12+2*3=12+6=18 feet.


So the outer rectangle is 18 by 26 feet. This means that L=26 and W=18


Now let's find the perimeter.


P=2L%2B2W Start with the perimeter of a rectangle formula.


P=2%2826%29%2B2%2818%29 Plug in L=26 and W=18.


P=52%2B2%2818%29 Multiply 2 and 26 to get 52.


P=52%2B36 Multiply 2 and 18 to get 36.


P=88 Add 52 to 36 to get 88.


So the perimeter of a rectangle with length 26 feet and width 18 feet is 88 feet.


This means that the outer perimeter of the walkway is 88 feet.


So you are correct. Good job.