A 50 meter walkway forms one diagonal of a square playground. How many meters long is the side of the playground? Round to the nearest whole meter.
The length of the diagonal of a square can be found using the Pythagorean theorem, where the diagonal is the hypotenuse and each side of the square is a leg.
Let's denote the length of the side of the square as x.
Using the Pythagorean theorem:
x^2 + x^2 = 50^2
2x^2 = 2500
x^2 = 1250
Taking the square root of both sides:
x = √1250 ≈ 35.35
Rounded to the nearest whole meter, the side of the playground is 35 meters long.