To determine the length of the new road with 8 trees planted at equal intervals of 14 meters, we need to consider the arrangement of the trees.
When planting trees at equal intervals:
- The first tree is at the starting point (position 0).
- The second tree is 14 meters from the first tree.
- The third tree is 14 meters from the second tree, and so on.
If there are \( n \) trees planted, the distance between the first and the last tree can be calculated using the formula for the spacing:
\[ \text{Length of the road} = \text{Distance between trees} \times (\text{Number of trees} - 1) \]
Given:
- Distance between trees = 14 meters
- Number of trees = 8
We can substitute these values into the equation:
\[ \text{Length of the road} = 14 , \text{m} \times (8 - 1) = 14 , \text{m} \times 7 = 98 , \text{m} \]
Thus, the length of the new road is 98 meters.