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charle [14.2K]
3 years ago
13

the area of a children’s square playground is 50m squared, what is the exact length of the playground

Mathematics
2 answers:
butalik [34]3 years ago
6 0

Answer:

\displaystyle 5\sqrt{2}\:m.

Step-by-step explanation:

Sinse squares are equal in length all around, this formula applies:

\displaystyle s^2 = A → \sqrt{50} = \sqrt{s^2} \\ \\ 5\sqrt{2} = s

Therefore, the length of the playground is \displaystyle 5\sqrt{2} metres.

* Just in case you could not figure out how to find the square root of fifty, here is how using perfect squares:

\displaystyle \sqrt{50} → \sqrt{2 \times 25} \\ \\ 5\sqrt{2}

Sinse we are dealing with measurements, we only want the NON-NEGATIVE root.

I am joyous to assist you at any time.

tensa zangetsu [6.8K]3 years ago
4 0

Area=50m^2

Let side be a

\\ \rm\Rrightarrow Area=a^2

\\ \rm\Rrightarrow a^2=50

\\ \rm\Rrightarrow a=\sqrt{50}

\\ \rm\Rrightarrow a=7.1m

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