[tex]Area\ of\ rectangular\ floor:\\\\ A_f=74*128=9472\\\\ Area\ of\ small\ tile:\\\\ A_s=8*8=64\ Small\ tile\ will\ cover\ 64''^2 \\\\ Area\ of\ big\ tile:\\\\ A_b=16*16=256\ Big\ tile\ will\ cover 256''^2\\\\ A_f:A_s=9472:64=148\\\\ A_f:A_b=9472:148=64\\\\\ To\ cover\ the \ floor\ 148\ small\ tiles\ are \ needed.[/tex]