To the nearest meter, the length of a side of the playground is 17 m.
We are told that A walkway forms one diagonal of a square playground. The walkway is 24m long.
Now, since it is a square being split diagonally, we can think of this like two congruent right triangles with a hypotenuse of 24 and two congruent legs. Thus;
a² + b² = 24²
a² + b² = 576
Since we know a and b are equal, we can then rewrite it as;
a² + a² = 576
⇒ 2a² = 576
a² = 576/2
a = √288
a = 12√2
a = 16.97 m
a to the nearest meter is a = 17 m
Thus, we conclude that to the nearest meter, the length of a side of the playground is 17 m.
Read more about Diagonal Length of a Square at; https://brainly.com/question/15805247
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