Question

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

Answer 1

Area=50m^2

Let side be a

$\\ \rm\Rrightarrow Area=a^2$

$\\ \rm\Rrightarrow a^2=50$

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

$\\ \rm\Rrightarrow a=7.1m$

Answer 2

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.