Sure, let's solve this step-by-step.
1. Identify the given information:
- Saili plants 4 saplings in a row.
- The distance between two adjacent saplings is [tex]\(\frac{3}{4}\)[/tex] meters.
2. Understand the configuration:
- There are 4 saplings, so let's label them as [tex]\(S_1, S_2, S_3, S_4\)[/tex].
- The distance between each pair of adjacent saplings ([tex]\(S_1\)[/tex] and [tex]\(S_2\)[/tex], [tex]\(S_2\)[/tex] and [tex]\(S_3\)[/tex], [tex]\(S_3\)[/tex] and [tex]\(S_4\)[/tex]) is [tex]\(\frac{3}{4}\)[/tex] meters.
3. Calculate the number of gaps between the saplings:
- If there are 4 saplings in a row, then the number of gaps between them is [tex]\(4 - 1 = 3\)[/tex].
4. Calculate the distance between the first and the last sapling:
- Since there are 3 gaps and each gap is [tex]\(\frac{3}{4}\)[/tex] meters, the total distance between the first and the last sapling is:
[tex]\[
\text{Total distance} = \text{Number of gaps} \times \text{Distance per gap}
\][/tex]
[tex]\[
\text{Total distance} = 3 \times \frac{3}{4}
\][/tex]
5. Simplify the calculation:
[tex]\[
\text{Total distance} = 3 \times \frac{3}{4} = \frac{9}{4} = 2.25 \text{ meters}
\][/tex]
Therefore, the distance between the first and the last sapling is [tex]\(2.25 \)[/tex] meters.
