we know that
[area of Martha's bathroom]=5*7-----> 35 ft²
[area of one tiles]=(1/4)²-----> 1/16 ft²
if 1 tile has area of--------------> 1/16 ft²
x tiles---------------------------> 35 ft²
x=35/(1/16)-----> x=35*16-----> x=560 tiles
the answer is
560 tiles