SOLUTION: Marta gets paid only when she finishes tiling a room. the first rooms that Marta tiled were all square rooms. write a function S such that S(n) expresses the number of tiles requir

Algebra ->  Functions -> SOLUTION: Marta gets paid only when she finishes tiling a room. the first rooms that Marta tiled were all square rooms. write a function S such that S(n) expresses the number of tiles requir      Log On


   



Question 173241: Marta gets paid only when she finishes tiling a room. the first rooms that Marta tiled were all square rooms. write a function S such that S(n) expresses the number of tiles required to cover a square floor that has n tiles along the edge of the room. include the domain of the function in your answer.
Answer by no mystery(1) About Me  (Show Source):
You can put this solution on YOUR website!
S(n) = the number of tiles required.
The room is square (and assuming the tiles are square):
n = length of room in tile lengths = width of room in tile lengths
So Area of floor = n x n = n^2
So S(n) = n^2
The miniumum length of the room must be 1 tile length for it to be tileable, so domain: n>=1. Sorry for the edit.
This is my first answer I hope it's right and I hope it makes sense.
All the best.