Answer:
the largest square tile is 35cmx35 cm
Step-by-step explanation:
1. Factorize 105 = 5*7*3=35*3
Factorize 280=10*7*4=2*5*7*4=35*8
The common factor is 35.
So Matt can tile 3 tiles 35x35 along the side 105 and 8 tiles along the side 280.
Total 24 pieces 35x35 are necessary to tile the area 105x 280 cm
( However the question is only about the largest tile that Matt could use and not about the quantity of the tiles)
