1. **State the problem:** We have 3 pieces of rope with lengths in the ratio 2:3:5, and their combined length is 80 feet.
2. **Set up variables:** Let the lengths be $2x$, $3x$, and $5x$.
3. **Write the equation for total length:**
$$2x + 3x + 5x = 80$$
4. **Simplify the equation:**
$$10x = 80$$
5. **Solve for $x$:**
$$x = \frac{80}{10} = 8$$
6. **Find the length of the longest piece:**
$$5x = 5 \times 8 = 40$$
7. **Cut the longest piece in half:**
Each half is
$$\frac{40}{2} = 20$$
**Final answer:** Each half of the longest piece is 20 feet long.
**Answer choice:** C. 20
Rope Length 72A049
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