The length of a rectangular room is 5 feet more than its width. the perimeter of the room is 66 feet. what are the room’s dimensions (length and width)? show your work and explain your process. !

The length of the room is 19 feet. The width of the room is 14 feet. The way I got this was that I knew that it was 5 feet more. So, I experimented with a lot of numbers, and everyone of the numbers I tried had to be 5 less than the original number. I then chose the number 19 and 14. They are 5 less than each other. I multiplied 19 by 2 which I then got 38. I multiplied 14 by 2 to get 28. The reason I multiplied it together was because there are 4 sides to a rectangular room. I added 38 and 28 together to get a total of 66 feet. 

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6(2x + 5y)6 (2x) = 12x6 (5y) = 30y12x + 30y