Road Length
1. **State the problem:**
We are given an initial road length 13 years ago, $L_0 = 1350$ km.
2. For the next 9 years, the road length increased by 29% each year.
This means each year the length is multiplied by $1 + 0.29 = 1.29$.
After 9 years, the length is:
$$L_1 = 1350 \times 1.29^9$$
3. For the remaining 4 years (since 13 years total - 9 years), the road length increases by 16% each year.
Each year, the length is multiplied by $1 + 0.16 = 1.16$.
After these 4 years,
$$L_2 = L_1 \times 1.16^4 = 1350 \times 1.29^9 \times 1.16^4$$
4. Calculate values step-by-step:
First, $1.29^9 \approx 15.214$ (approximate to 3 decimal places for clarity).
Then, $1.16^4 \approx 1.808$.
Multiply all:
$$L_2 \approx 1350 \times 15.214 \times 1.808 = 1350 \times 27.513 = 37141.1$$
5. Round to 3 significant figures:
$$37100 \text{ km}$$
**Final answer:** The total road length now is approximately $37100$ km to 3 significant figures.