★ Question: The area of a square is 324 square inches. What is the length of one side of the square?
The formula for finding area of squares is:
[tex]length \times width[/tex]
Squares have 4 sides, and all sides measure the same. If the area is 324 square units, that means the length and width are the same.
[tex]x \times x = x^2 \\ \\ x^2 = 324[/tex]
x squared(x²) is equal to 324. To find x, you have to do the opposite of squaring, which is finding the square root.
[tex]x^2 = 324 \rightarrow \sqrt{324} = x[/tex]
To find x, you have find the square root of 324.
[tex]\sqrt{324} = 18[/tex]
The length of one side is 18 inches
The formula for finding area is:
[tex]length \times width[/tex]
The length and width gotten was 18. Put that into the formula:
[tex]18 \times 18[/tex]
Multiply:
[tex]18 \times 18 = 324 \checkmark[/tex]
That means the answer is correct. Your answer is 18 inches.
If you have any questions, feel free to ask in the comments! :)
