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# A walkway forms the diagonal of a square playground. The walkway is 24 m long. To the nearest tenth of a meter, how long is a side of the playground? Solution

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The walkway is the diagonal of the square playground and divides the square into two right triangles making it the hypotenuse. If $s$ is the side length of the playground, then by Pythagorean Theorem, we can write:

$s^2+s^2=24^2$

$2s^2=576$

$s^2=288$

$s=\sqrt{288}$

$s=\sqrt{144\cdot 2}$

$s=12\sqrt{ 2}\approx \color{#c34632}17.0\text{ m}$ ## Recommended textbook solutions #### Geometry

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