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Plant trees on one side of a section of highway, one tree every 3 meters, a total of 126 trees (planted at both ends). How long is this road?
This section of road is 375 meters long.

This is a typical mathematical problem of planting trees. The problem of planting trees is to plant trees on a certain route according to the total distance, interval and number of trees. According to the formula of tree planting problem: (two-headed planting): distance ÷ interval length+1= number of trees, and combining with the topic, we can get the equation x÷3+ 1= 126, and get x=375, that is, the highway length is 375 meters.

Extended data

First, the problem of planting trees online can be divided into the following three situations.

1. If trees are planted at both ends of the tree planting line, the number of trees planted should be more than the number of segments to be divided 1, that is, the number of trees = the number of intervals+1.

2. If only one end of the tree planting line is planted with trees, then the number of trees is equal to the number of segments to be divided, that is, the number of trees = the number of intervals.

3. If no trees are planted at both ends of the tree planting line, the number of trees planted is less than the number of segments to be divided 1, that is, the number of trees = the number of intervals-1.

4. If trees are planted on both sides and ends of the tree planting route, the number of trees planted should be more than the number of segments to be divided 1, and then multiplied by 2, that is, trees = number of segments+1 and then multiplied by 2.

2. Planting trees on the closed line, the number of trees is equal to the number of intervals, that is, the number of trees = the number of intervals.

Third, plant trees on the square line, if every vertex should plant trees. Then the number of trees = (number of trees per side-1) × number of edges.

The problem of planting trees on non-closed lines can be divided into the following three situations:

If trees are planted at both ends of the non-closed line, then:

Plant number = number of segments+1= total length-plant spacing+1

Total length = plant spacing × (number of plants-1)

Plant spacing = total length ÷ (number of plants-1)

If you want to plant trees at one end of the unclosed line and not at the other end, then:

Number of plants = number of segments = total length ÷ plant spacing

Total length = plant spacing × number of plants

Plant spacing = total length/number of plants

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