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

Explanation

Let the length of one side of the rectangle be 63 m and the diagonal be 65 m. We can use the Pythagorean theorem to find the other side of the rectangle. According to the Pythagorean theorem: (Diagonal)2 = (Length)2 + (Width)2 Substitute the known values: 652 = 632 + (Width)2 4225 = 3969 + (Width)2 (Width)2 = 4225 - 3969 (Width)2 = 256 Width = √256 = 16 m Now that we know both sides of the rectangle (63 m and 16 m), we can calculate the perimeter: Perimeter = 2 × (Length + Width) Perimeter = 2 × (63 + 16) = 2 × 79 = 158 m Therefore, the perimeter of the rectangular plot is 158 m.