Problema Solution
Hexagonal tiles of side 20 cm are used to tile a room which measures 6•25 m by 4•85 m . Assuming we complete the edges by cutting up tiles, how many tiles are needed??
Answer provided by our tutors
The area of a regular hexagon of side length t is given by
A =t^2*(3*3^0.5)/2
in our case t = 20 cm = 0.2 m
A =0.2^2*(3*3^0.5)/2
A = 0.1039 m^2 is the are of one hexagonal tile
the total area of the room is
A1 = 6.25*4.85
A1 = 30.3125 m^2
since we can complete the ages by cutting up tile the number of tiles will be
A1/A = 30.3125/0.1039 = 291.75 and since we can order only integer number of tiles we will need 292 tiles.