Let the length of the rectangular plot is l m.
Given that breadth and perimeter of the rectangular plot are 16m and 80 m, respectively.
∴ 2 (l + 6) = 80. (∵ perimeter of rectangle whose sides are a & b is given by 2(a+b))
⇒ l + 16 = \(\frac{80}{2}\) = 40
⇒ l = 40 – 16 = 24.
Hence, the length of the rectangular plot is 24 m.
Now, the area of rectangular plot = 24 × 16 = 384 m2.