Question

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 ?

Answer 1

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:

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

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

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

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

\[
\boxed{11.8}
\]