The perimeter of a rectangular plot of land is 80 m and its breadth is 16 m.

As, perimeter $=80 \mathrm{~m}$

$\Rightarrow 2($ length $+$ breadth $)=80$

$\Rightarrow 2($ length $+16)=80$

$\Rightarrow 2 \times$ length $+32=80$

$\Rightarrow 2 \times$ length $=80-32$

$\Rightarrow$ length $=\frac{48}{2}$

$\therefore$ length $=24 \mathrm{~m}$

Now, the area of the plot $=$ length $\times$ breadth

$=24 \times 16$

$=384 \mathrm{~m}^{2}$

So, the length of the plot is 24 m and its area is 384 m2.