The area of a triangular neon billboard is 125 square feet. The base of the triangle is 5 feet longer than twice the length of the altitude. We need to find the dimensions of the triangular billboard in feet and then convert them to yards. The problem provides the solution to part (a) as: altitude = 10 feet, base = 25 feet. Part (b) asks to convert these dimensions to yards.

1. Problem Description

The area of a triangular neon billboard is 125 square feet. The base of the triangle is 5 feet longer than twice the length of the altitude. We need to find the dimensions of the triangular billboard in feet and then convert them to yards. The problem provides the solution to part (a) as: altitude = 10 feet, base = 25 feet. Part (b) asks to convert these dimensions to yards.

2. Solution Steps

First, we need to convert the altitude from feet to yards.

Since 1 yard = 3 feet, we have:

$altitude \text{ (yards)} = \frac{altitude \text{ (feet)}}{3}$

$altitude \text{ (yards)} = \frac{10}{3}$

Now, we convert the base from feet to yards:

$base \text{ (yards)} = \frac{base \text{ (feet)}}{3}$

$base \text{ (yards)} = \frac{25}{3}$

3. Final Answer

The length of the altitude of the triangular billboard is $\frac{10}{3}$ yards.

The length of the base of the triangular billboard is $\frac{25}{3}$ yards.