The area of a square garden 300 m^2. How long is the diagonal?
We can use the formula for the area of a square, which is side^2 = area, to find the length of the sides:
side^2 = area
side^2 = 300
side = sqrt(300)
side = 17.3205 (rounded to 4 decimal places)
Then, we can use the Pythagorean theorem to find the length of the diagonal:
diagonal^2 = side^2 + side^2
diagonal^2 = 2 * side^2
diagonal = sqrt(2 * side^2)
diagonal = sqrt(2 * 17.3205^2)
diagonal = 24.4949 (rounded to 4 decimal places)
So, the length of the diagonal of the square garden is approximately 24.4949 meters.