Identify the given dimensions

We are given the diagonal $d = 65\text{ m}$ and one side (length) $l = 63\text{ m}$ of a rectangular plot.

$d = 65\text{ m}, \quad l = 63\text{ m}$

Calculate the second side using Pythagorean theorem

In a rectangle, the diagonal forms a right-angled triangle with the two adjacent sides. Using Pythagoras theorem, the breadth $w$ is calculated as: $w = \sqrt{d^2 - l^2}$

$w = \sqrt{65^2 - 63^2} = \sqrt{(65+63)(65-63)} = \sqrt{128 \times 2} = \sqrt{256} = 16\text{ m}$

Calculate the perimeter of the rectangle

The formula for the perimeter of a rectangle is $P = 2(l + w)$. Substituting $l = 63\text{ m}$ and $w = 16\text{ m}$, we get $P = 2(63 + 16) = 2(79) = 156\text{ m}$.

$P = 2(63 + 16) = 156\text{ m}$