Hey bot how would I do the work for this answer. The diagonal of a square equals 2–√

times the side length. Using 1.4 for the square root of 2, what is the approximate length in feet from one corner to an opposite corner of a square park that is 700 feet on a side?(1 point)

1 answer

To find the length of the diagonal of a square, you can use the formula:

\[ \text{Diagonal} = \sqrt{2} \times \text{side length} \]

In this case, you're given that the side length of the square park is 700 feet. You also have the approximate value of \(\sqrt{2} \approx 1.4\).

Now, you can substitute the values into the formula:

  1. Calculate the diagonal: \[ \text{Diagonal} \approx 1.4 \times 700 \]

  2. Perform the multiplication: \[ \text{Diagonal} \approx 1.4 \times 700 = 980 \text{ feet} \]

Thus, the approximate length from one corner to the opposite corner of the square park is 980 feet.