Question

the area of a square poster is 38 in.². find the length of one side of the poster to the nearest tenth of an inch. (round to the nearest tenth as needed.)

Explanation:

Step1: Recall area formula for square

The area formula for a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. We know $A = 38$ in².

Step2: Solve for side - length

To find $s$, we take the square root of both sides of the equation $A = s^{2}$. So, $s=\sqrt{A}$. Substituting $A = 38$ in², we get $s=\sqrt{38}$.

Step3: Calculate and round

Using a calculator, $\sqrt{38}\approx6.2$ in.

Answer:

$6.2$