which represents a side length of a square that has an area of 450 square inches?\n15\\sqrt{2}…

Explanation:

Step1: Recall area formula for square

The area formula of a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. Given $A = 450$ square inches, so $s^{2}=450$.

Step2: Solve for $s$

Take the square - root of both sides: $s=\sqrt{450}$. Simplify $\sqrt{450}=\sqrt{225\times2}$. Using the property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$ ($a = 225$, $b = 2$), we get $s=\sqrt{225}\cdot\sqrt{2}=15\sqrt{2}$ inches.

Answer:

A. $15\sqrt{2}$ in.