Question

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

Answer 1

`\displaystyle 5√(2)\:m.`

Explanation:

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

`\displaystyle s^2 = A → √(50) = √(s^2) \\ \\ 5√(2) = s`

Therefore, the length of the playground is
`\displaystyle 5√(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 √(50) → √(2 * 25) \\ \\ 5√(2)`

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

I am joyous to assist you at any time.

Answer 2

Area=50m^2

Let side be a

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

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

`\\ \rm\Rrightarrow a=√(50)`

`\\ \rm\Rrightarrow a=7.1m`