To find the distance around a triangle, which is also known as the perimeter, we need to sum the lengths of all its sides. Here are the measurements of the sides provided:
1. The first side is \( 2 \frac{1}{8} \) feet.
2. The second side is \( 3 \frac{1}{2} \) feet.
3. The third side is \( 2 \frac{1}{2} \) feet.
We can convert these mixed numbers into improper fractions or decimal form for easier addition.
1. \( 2 \frac{1}{8} \) feet can be converted to a decimal:
- The whole number part is 2.
- The fractional part \( \frac{1}{8} \) is equal to 0.125.
- Therefore, \( 2 \frac{1}{8} \) feet is \( 2.125 \) feet.
2. \( 3 \frac{1}{2} \) feet can be converted to a decimal:
- The whole number part is 3.
- The fractional part \( \frac{1}{2} \) is equal to 0.5.
- Therefore, \( 3 \frac{1}{2} \) feet is \( 3.5 \) feet.
3. \( 2 \frac{1}{2} \) feet can be converted to a decimal:
- The whole number part is 2.
- The fractional part \( \frac{1}{2} \) is equal to 0.5.
- Therefore, \( 2 \frac{1}{2} \) feet is \( 2.5 \) feet.
Now, we add these lengths to find the perimeter of the triangle:
[tex]\[ 2.125 \text{ feet} + 3.5 \text{ feet} + 2.5 \text{ feet} \][/tex]
When we sum these values:
[tex]\[ 2.125 + 3.5 = 5.625 \][/tex]
[tex]\[ 5.625 + 2.5 = 8.125 \][/tex]
Therefore, the distance around the triangle, or the perimeter, is [tex]\( 8.125 \)[/tex] feet.
