Questions: The length of a side of square is s=208 m. Define the length of the diagonal.

Solution Steps

To find the length of the diagonal of a square, use the Pythagorean theorem. The diagonal forms a right triangle with two sides of the square. Therefore, the diagonal \( d \) can be calculated as \( d = s \sqrt{2} \).

The diagonal \( d \) of a square with side length \( s \) can be calculated using the formula: \[ d = s \sqrt{2} \]

Given \( s = 208 \, \text{m} \), substitute into the formula: \[ d = 208 \times \sqrt{2} \]

Calculate \( \sqrt{2} \approx 1.4142 \), then: \[ d = 208 \times 1.4142 \approx 294.1564 \]

Round the result to two decimal places: \[ d \approx 294.16 \, \text{m} \]

Final Answer