Question

A walkway forms one diagonal of a square playground. The walkway is 14 m long. How long is a side of the​ playground?
Question content area bottom
Part 1
Each side of the playground is

Answer 1

14√2 m long.

Answer 2

as a decimal

Answer 3

Each side of the playground is approximately 19.80 meters long.

Answer 4

10 was the answer

Answer 5

I'm sorry for the confusion. Let's calculate the correct answer.

The walkway forms one diagonal of a square playground. In a square, the diagonal divides the square into two right-angled triangles. The length of the diagonal can be found using the Pythagorean Theorem:

Diagonal² = Side length² + Side length²
Diagonal² = 2(Side length)²
14² = 2(Side length)²
196 = 2(Side length)²
98 = (Side length)²
Side length = √98
Side length ≈ 9.899, which is approximately 10.

Therefore, each side of the playground is approximately 10 meters long. Thank you for pointing that out.