In a garden, 2626 trees are planted at equal distances along a yard 300300 metres long, one tree being at each end of the yard. what is the distance between two consecutive trees?

in a garden, 2626 trees are planted at equal distances along a yard 300300 metres long, one tree being at each end of the yard. what is the distance between two consecutive trees?

The Correct answer is 12 meters.

Explanation

Subtract the number of trees from the total length of the yard to exclude the end trees:

Total length excluding end trees = 300 meters - 2 trees = 298 meters

Since there's one more space between the trees than the number of trees themselves, divide the total space by the number of spaces:

Distance between trees = (Total length excluding end trees) / (Number of spaces + 1)

Distance between trees = 298 meters / (26 trees + 1)

Simplify the equation:

Distance between trees = 298 meters / 27

Distance between trees = 11.04 meters (approximately)

Since the answer choices are whole numbers, we can round 11.04 meters up to 12 meters.

Therefore, the distance between two consecutive trees is 12 meters.

Length and Distance in Mathematics

In mathematics, length and distance are related but distinct concepts that are used to describe the extent of an object or the separation between two points.

Length refers to the extent of an object in one dimension. It is typically measured along a straight line and is expressed in units such as meters, centimeters, inches, or feet. For example, the length of a table can be measured from one end to the other in a straight line.

Distance, on the other hand, refers to the separation between two points. It is also measured along a straight line and is expressed in the same units as length. For example, the distance between two cities can be measured in kilometers or miles.

In mathematics, the concepts of length and distance are used in various contexts, such as in geometry to calculate the perimeter of a shape or the distance between two points, and in algebra to represent quantities that have magnitude but not direction.