Question

Can you please help me out with this question please

Answer 1

Since the playground has a square shape, its perimeter is given by four times its side length, so:

$\begin{gathered} \text{Perimeter}=4\cdot\text{side} \\ 120=4\cdot\text{side} \\ \text{side}=\frac{120}{4}=30\text{ yards} \end{gathered}$

Then, to find the length of a diagonal, we can use the formula below:

$\begin{gathered} \text{diagonal}=\text{side}\cdot\sqrt[]{2} \\ \text{diagonal}=30\sqrt[]{2\text{ yd}} \end{gathered}$

Therefore the correct option is the second one.