John found that the perimeter of a square is

10
𝑥
+
26
10x+26
𝑓
𝑡
ft . If the perimeter's length is
144

𝑓
𝑡
144 ft what is the value of
𝑥
x ?

1 answer

To find the value of \( x \), we start with the formula for the perimeter of a square, which is given by:

\[ P = 4s \]

where \( s \) is the length of one side of the square. In this case, the perimeter \( P \) has been given as:

\[ 10x + 26 \text{ ft} \]

We also know that the perimeter is equal to 144 ft. Therefore, we can set up the equation:

\[ 10x + 26 = 144 \]

Next, we will solve for \( x \):

  1. Subtract 26 from both sides:

\[ 10x + 26 - 26 = 144 - 26 \] \[ 10x = 118 \]

  1. Now, divide by 10 to isolate \( x \):

\[ x = \frac{118}{10} = 11.8 \]

Thus, the value of \( x \) is:

\[ \boxed{11.8} \]