To find the value of \( x \), we can set up an equation based on the formula for the perimeter of a square. The perimeter \( P \) of a square is given by the formula:
\[ P = 4s \]
where \( s \) is the length of one side of the square.
According to the problem, the perimeter is also expressed as \( 4x + 26 \). We are told that the perimeter is \( 120 \) ft. Therefore, we can set up the equation:
\[ 4x + 26 = 120 \]
Now, we will solve for \( x \).
- Subtract \( 26 \) from both sides:
\[ 4x = 120 - 26 \]
\[ 4x = 94 \]
- Divide both sides by \( 4 \):
\[ x = \frac{94}{4} \]
\[ x = 23.5 \]
Therefore, the value of \( x \) is \( 23.5 \).
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