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Then we will find the number of tiles required by dividing the area of the footpath to the area of a single tile.

\[

{\text{Dimensions of rectangular plot = 80m} \times \text{40m}} \\

{\text{Width of foot path = 2m}} \\

{\text{Side of square tile = 40cm}} \\

\]

\[{\text{Area of rectangle = (length)(breadth)}}\]

\[

{\text{Area of outer rectangular plot = (80 + 2 + 2)(44 + 2 + 2)}} \\

{\text{ = (84)(48)}} \\

{\text{ = 4032}}{{\text{m}}^{\text{2}}} \\

\]

\[

{\text{Area of rectangular plot (inner rectangle) = (80)(44)}} \\

{\text{ = 3520}}{{\text{m}}^{\text{2}}} \\

\]

\[

{\text{Area of footpath = Area of outer rectangular plot - Area of rectangular plot (inner rectangle)}} \\

{\text{ = 4032 - 3520}} \\

{\text{ = 512}}{{\text{m}}^{\text{2}}} \\

\]

\[

{\text{Area of square = (side}}{{\text{)}}^{\text{2}}} \\

{\text{1cm = 1}}{{\text{0}}^{{\text{ - 2}}}}{\text{m}} \\

{\text{Area of a single square tile = 4}}{{\text{0}}^{\text{2}}} \\

{\text{ = 1600c}}{{\text{m}}^{\text{2}}} \\

{\text{ = 1600(1}}{{\text{0}}^{{\text{ - 4}}}}{\text{)}}{{\text{m}}^{\text{2}}} \\

{\text{ = }}\dfrac{{{\text{16}}}}{{{\text{100}}}}{{\text{m}}^{\text{2}}} \\

{\text{ = }}\dfrac{{\text{4}}}{{{\text{25}}}}{{\text{m}}^{\text{2}}} \\

\]

\[{\text{Number of tiles = }}\dfrac{{{\text{Area of footpath}}}}{{{\text{Area of a single square tile}}}}\]

\[

{\text{Number of tiles = }}\dfrac{{{\text{512}}}}{{\dfrac{{\text{4}}}{{{\text{25}}}}}} \\

{\text{ = }}\dfrac{{{\text{512}}}}{{\text{4}}}{\text{(25)}} \\

{\text{ = 3200}} \\

\]

\[

{\text{total number of tiles = }}\dfrac{{{\text{total area}}}}{{{\text{Area of a single square tile}}}} \\

{\text{ = }}\dfrac{{{\text{4032}}}}{{\dfrac{{\text{4}}}{{{\text{25}}}}}} \\

{\text{ = 25200}} \\

\]

\[

{\text{number of tiles can be paved in plot = }}\dfrac{{{\text{plot area}}}}{{{\text{Area of a single square tile}}}} \\

{\text{ = }}\dfrac{{{\text{3520}}}}{{\dfrac{{\text{4}}}{{{\text{25}}}}}} \\

{\text{ = 22000}} \\

\]

Therefore, by subtracting the number of tiles that can be paved in the plot to the number of tiles that can be paved in the total area we will get the number of tiles that can be paved in the footpath.

\[

{\text{numbers of tiles required = 25200 - 22000}} \\

{\text{ = 3200}} \\

\]