Part 1 of 2
Traffic signs are regulated by the Manual on Uniform Traffic Control Devices (MUTCD). The perimeter of a rectangular traffic sign is 122 inches. Also, its length is 15 inches longer than its width. Find the dimensions of this sign.
What is the length of the sign?
The length of the sign is

Step 1 ：Let's denote the width of the sign as \(x\) (in inches). According to the problem, the length of the sign is \(x + 15\) inches.

Step 2 ：The perimeter of a rectangle is given by the formula \(2*(length + width)\). In this case, the perimeter is 122 inches. So we can set up the following equation: \(2*(x + (x + 15)) = 122\).

Step 3 ：First, simplify the equation: \(2*(2x + 15) = 122\) which simplifies to \(4x + 30 = 122\).

Step 4 ：Next, subtract 30 from both sides of the equation: \(4x = 122 - 30\) which simplifies to \(4x = 92\).

Step 5 ：Finally, divide both sides by 4 to solve for \(x\): \(x = 92 / 4\) which simplifies to \(x = 23\).

Step 6 ：So, the width of the sign is \(23\) inches.

Step 7 ：The length of the sign is \(x + 15 = 23 + 15 = 38\) inches.

Step 8 ：Therefore, the length of the sign is \(\boxed{38}\) inches.