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## A walkway forms one diagonal of a square playground. The walkway is 24 m long. How long is a side of the playground?

Question

A walkway forms one diagonal of a square playground. The walkway is 24 m long. How long is a side of the playground?

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Mathematics
4 months
2021-09-05T15:20:33+00:00
2021-09-05T15:20:33+00:00 1 Answers
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## Answers ( )

The diagonal of a square can be obtained by the Pythagorean theorem and is given by:

Diagonal = root (L ^ 2 + L ^ 2)

Where,

L: Sides of the squares

Clearing L, we have:

(Diagonal) ^ 2 = L ^ 2 + L ^ 2

(Diagonal) ^ 2 = 2L ^ 2

L ^ 2 = ((Diagonal) ^ 2) / 2

L = (((Diagonal) ^ 2) / 2) ^ (1/2)

Substituting

L = (((24) ^ 2) / 2) ^ (1/2) = 16.97

The side of the playground is 16.97m long