Question

Solve the equation $3s^2=48$and find the length of each garden side.

Short answer

The length of each garden side is$4$feet.

Step-by-step solution

Given Information.  

The Given equation is$3s^2=48$.

Isolate the quadratic term and makes its coefficient one.   

$$\begin{gathered} s^2=\frac{48}{3} \\ {s}^2=16 \end{gathered}$$

Use the Square Root Property.  

$s=\pm \sqrt{16}$

Factor the radical.

$$\begin{gathered} s=\pm \sqrt{4\times 4} \\ s=\pm 4 \end{gathered}$$

The length can not be negative.

So, the length of each garden is$4$feet.