Tile Game
In connection to the National Mathematics Day
celebration, the Regional Mathematical Scholars
Society had arranged for a Mathematics
Challenge Event where school kids participated
in large number. Many interesting math games
were conducted, one such game that attracted
most kids was the tile game where the kids were
given 'n' square tiles of the same size and were
asked to form the largest possible square using
those tiles
Help the kids by writing a program to find the
area of the largest possible square that can be
formed, given the side of a square tile (in cms)
and the number of square tiles available
Answers
Answer:
Here is a Python function that implements the described behavior:
def largest_square(tile_side, num_tiles):
square_area = tile_side ** 2
max_side = int(num_tiles ** 0.5)
max_area = max_side ** 2
return max_area * square_area
Explanation:
You can test the function with the following code:
tile_side = 2
num_tiles = 36
print(largest_square(tile_side, num_tiles))
This will output the area of the largest possible square that can be formed using the given tile side and number of tiles.
In this program, first the area of a single tile is calculated, then the maximum possible side of the square is calculated by taking the square root of the number of tiles, and then the area of the square is calculated by multiplying the area of a single tile with the maximum possible side of the square.
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