Matt is tiling his house and he needs to find out what are the largest square tiles that he could use to tile an area 105 cm by 280 cm?

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)

thats not a system of equations, that is a solution

hope this !

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