Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the area of a square can be found using the equation a = s², where a is…

Question

the area of a square can be found using the equation a = s², where a is the area and s is the side - length of a square. match the equation for how to solve for the side length of a square to its description. a square has an area of 227 in². s = √227² in. s = √227 in. s = 227² in. s = 227 in.

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.

Step2: Solve for side - length

Given $A = 227\ in^{2}$, we need to solve the equation $227=s^{2}$ for $s$. Taking the square root of both sides, we get $s=\sqrt{227}\ in$. Since the side - length of a square cannot be negative in this context, we consider the positive square root.

Answer:

$s = \sqrt{227}\ in$