Question

Ronin draws a square with a measure of (x + 2) inches on each side. The perimeter of his square is 96 inches. The equation below represents the perimeter of the square.

4 (x + 2) = 96

What is the value of x?
16
22
24
26

Answer 1

To find the value of \(x\) in the equation representing the perimeter of the square, we start with the equation:

\[
4(x + 2) = 96
\]

Next, we divide both sides of the equation by 4:

\[
x + 2 = \frac{96}{4}
\]

This simplifies to:

\[
x + 2 = 24
\]

Now, we subtract 2 from both sides to isolate \(x\):

\[
x = 24 - 2
\]

This gives us:

\[
x = 22
\]

Thus, the value of \(x\) is \(\boxed{22}\).