Area of a rectangular field is 300 sq. meter. If length of its diagonal is 25 meter, then the perimeter of this field is -

Correct option is A

To find the perimeter of the rectangular field, we can use the following steps:
Given:
- Area of the rectangular field = 300 sq. meters
- Length of the diagonal = 25 meters
Concept Used:
For a rectangle:
- Area A = Length × Breadth
- The diagonal d can be found using the Pythagorean theorem:


Solution:
1. Let the Length be l and the Breadth be b:
Given:
l × b = 300

2. Square the diagonal equation to eliminate the square root:
l2 + b2 = 252 = 625

3. Using the identity (l + b)2 = l2 + b2 + 2lb, we can find (l + b):
- l2 + b2 = 625
- 2lb = 2 × 300 = 600
(l + b)2 = 625 + 600 = 1225
l + b = 35
4. Now, find the perimeter:
Perimeter = 2 (l + b) = 2 × 35 = 70 meters