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