Answer :
[tex]Area\ =100\frac{3}{4}*75\frac{1}{2}=100.75*75.5=7606.625\\\\
Area\ is\ equal\ to\ 7606.625feet^2.[/tex]
we know that
the area of the floor is equal to the area of a rectangle
so
Area of the floor[tex]=L*W[/tex]
where
L is the length side of the floor
W is the width side of the floor
[tex] L=100\frac{3}{4} ft\\\\ L=(100*4+3)/4\\\\ L=\frac{403}{4} ft [/tex]
[tex] W=75\frac{1}{2} ft\\\\ W=(75*2+1)/2\\\\ W=\frac{151}{2} ft [/tex]
Area of the floor[tex] =\frac{403}{4} *\frac{151}{2} [/tex]
Area of the floor[tex]= \frac{60,853}{8} [/tex]
Area of the floor=[tex] 7,606.625 [/tex] ft²
therefore
the answer is
the area of the floor is [tex] 7,606.625 [/tex] ft²