SOLUTION: Gina laid tiles on the floor. She began with 1 square tile at the corner of the room. She adds three tiles to form a 2 x 2- tile square and then 5 tiles to form a 3 x 3- tile squar

Algebra ->  Exponents -> SOLUTION: Gina laid tiles on the floor. She began with 1 square tile at the corner of the room. She adds three tiles to form a 2 x 2- tile square and then 5 tiles to form a 3 x 3- tile squar      Log On


   



Question 1027590: Gina laid tiles on the floor. She began with 1 square tile at the corner of the room. She adds three tiles to form a 2 x 2- tile square and then 5 tiles to form a 3 x 3- tile square. She continues in this way until the whole floor is covered. Last she adds 25 tiles. What is the size of the floor?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Adding 25 tiles is:
12 tiles along one side
12 tiles along the other side
1 tile in the corner
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That means there was a +12%2A12+=+144+
square before adding 25 tiles
+144+%2B+25+=+169+
+sqrt%28+169+%29+=+13+
So, the size of the floor is 13 x 13 tiles