Question

If the area of a square field is 7200 sq. m, then the length of its diagonal in meters is

• A. 120
• B. 130
• C. 140
• D. 150

Hint:

To find the diagonal of a square, use the formula \( d = \sqrt{2} \times \text{side} \).

Answer 1

The Correct Option is A

The area of a square is given by: \[ \text{Area} = \text{side}^(2) \] Thus, the side of the square is: \[ \text{side} = \sqrt{7200} = 84 \, \text{m}. \] The diagonal \( d \) of a square is related to the side by the Pythagorean theorem: \[ d = \sqrt{\text{side}^2 + \text{side}^2} = \sqrt{2 \times \text{side}^2} = \sqrt{2 \times 84^2} = 84\sqrt{2}. \] Therefore, the diagonal is: \[ d \approx 84 \times (1)414 = 120 \, \text{m}. \]