Question
John found that the perimeter of a square is
4
x
+
26
4x+26
f
t
ft . If the perimeter's length is
120
f
t
120 ft what is the value of
x
x ?
Answers
GPT-4o mini
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 \( x \).
1. Subtract \( 26 \) from both sides:
\[
4x = 120 - 26
\]
\[
4x = 94
\]
2. Divide both sides by \( 4 \):
\[
x = \frac{94}{4}
\]
\[
x = 23.5
\]
Therefore, the value of \( x \) is \( 23.5 \).
\[
P = 4s
\]
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 \( x \).
1. Subtract \( 26 \) from both sides:
\[
4x = 120 - 26
\]
\[
4x = 94
\]
2. Divide both sides by \( 4 \):
\[
x = \frac{94}{4}
\]
\[
x = 23.5
\]
Therefore, the value of \( x \) is \( 23.5 \).