Question

Using three mixed numbers as side lengths, make an equilateral triangle with a perimeter of 8 1/4 feet.

Options:
Option 1: 2 5/6 feet, 2 5/6 feet, 2 5/6 feet
Option 2: 2 1/3 feet, 2 1/3 feet, 2 1/3 feet
Option 3: 2 3/4 feet, 2 3/4 feet, 2 3/4 feet
Option 4: 2 2/5 feet, 2 2/5 feet, 2 2/5 feet

Answer 1

To make an equilateral triangle with a perimeter of 8 1/4 feet, the correct option is Option 3: 2 3/4 feet, 2 3/4 feet, 2 3/4 feet.

Step-by-step explanation:

To create an equilateral triangle with a perimeter of 8 1/4 feet, we need to use side lengths that are equal. Let's go through each option:

1. Option 1: Each side length is 2 5/6 feet. The perimeter of the triangle would be 3*(2 5/6) = 8 1/2 feet, not 8 1/4 feet. So, this option does not work.
2. Option 2: Each side length is 2 1/3 feet. The perimeter of the triangle would be 3*(2 1/3) = 7 feet, not 8 1/4 feet. So, this option does not work.
3. Option 3: Each side length is 2 3/4 feet. The perimeter of the triangle would be 3*(2 3/4) = 8 1/4 feet. So, this option works.
4. Option 4: Each side length is 2 2/5 feet. The perimeter of the triangle would be 3*(2 2/5) = 7 1/2 feet, not 8 1/4 feet. So, this option does not work.

Therefore, the correct option is Option 3: 2 3/4 feet, 2 3/4 feet, 2 3/4 feet.