The area of a triangular billboard is 76 square feet. The base is 3 feet longer than twice the altitude. We need to find the dimensions of the triangle in feet and then convert them to yards. Part (a) gives the dimensions in feet as altitude = 8 feet and base = 19 feet. Part (b) asks for these dimensions in yards.

1. Problem Description

The area of a triangular billboard is 76 square feet. The base is 3 feet longer than twice the altitude. We need to find the dimensions of the triangle in feet and then convert them to yards. Part (a) gives the dimensions in feet as altitude = 8 feet and base = 19 feet. Part (b) asks for these dimensions in yards.

2. Solution Steps

We are given that the altitude is 8 feet and the base is 19 feet. We know that 1 yard = 3 feet. Therefore, to convert feet to yards, we divide by

3.

Altitude in yards:

$Altitude_{yards} = \frac{Altitude_{feet}}{3} = \frac{8}{3}$ yards.

Base in yards:

$Base_{yards} = \frac{Base_{feet}}{3} = \frac{19}{3}$ yards.

3. Final Answer

The length of the altitude of the triangular billboard is $\frac{8}{3}$ yards.

The base of the triangular billboard is $\frac{19}{3}$ yards.