The diagonal and one side of a rectangular plot are 65m and 63m, respectively. What is the perimeter of the rectangular plot?

Correct option is A

Given:
Diagonal of the rectangle = 65 cm
One side of the rectangle= 63 cm
Formula Used:
In a rectangle,
​$$\text{Diagonal}^2 = (\text{Length})^2 + (\text{Breadth})^2 \\\text{Perimeter} = 2 \times (\text{Length} + \text{Breadth}) \\$$​​
Solution:
​$$\text{According to the question:} \\\text{Diagonal}^2 = (\text{Length})^2 + (\text{Breadth})^2 \\65^2 = (\text{Length})^2 + 63^2 \\4225 = (\text{Length})^2 + 3969 \\(\text{Length})^2 = 4225 - 3969 \\\text{Length} = \sqrt{256} \\\text{Length} = 16 \\\text{Perimeter} = 2 \times (63 + 16) = 2 \times 79 = 158 \\\text{Hence, the perimeter of the rectangular plot is } 158 \, \text{m}.$$​​