To determine the perimeter of the triangular sign and express it in feet, we can follow these steps:
1. Identify the lengths of each side of the triangle:
- The first side is 24 inches.
- The second side is also 24 inches.
- The third side is 18 inches.
2. Calculate the perimeter in inches:
- The perimeter of a triangle is the sum of the lengths of its sides.
- Thus, the perimeter = 24 inches + 24 inches + 18 inches = 66 inches.
3. Convert the perimeter from inches to feet:
- We know that 1 foot = 12 inches.
- To convert inches to feet, divide the number of inches by 12.
- Therefore, 66 inches ÷ 12 = 5.5 feet.
The perimeter of the triangular sign in feet is 5.5 feet. Now we look at the given options:
- (A) [tex]\(3 \frac{1}{2}\)[/tex] feet
- (B) 4 feet
- (C) [tex]\(4 \frac{1}{3}\)[/tex] feet
- (D) [tex]\(5 \frac{1}{6}\)[/tex] feet
Clearly, 5.5 feet corresponds to [tex]\(5 \frac{1}{2}\)[/tex] feet, which is not among the choices.
There's an evident mistake in the question. None of the given choices (A, B, C, or D) correctly represent 5.5 feet.
Therefore, based on these steps and the options provided, the correct perimeter is 5.5 feet, but this is not reflected in the answer choices. If there were a typographical error and the option should be [tex]\(5 \frac{1}{2}\)[/tex] feet, that would be the correct answer.
