Taylor is planting 4 trees at the community center.She wonts to leave a 2 square foot area between each one.How many square feet does she need for the trees?
To calculate the total square footage needed for the trees, we need to consider two factors: the space occupied by each tree and the space between them.
Let's start by calculating the space required for one tree. Since the tree will occupy a circular area, we can use the formula for the area of a circle: A = πr², where A represents the area and r represents the radius.
Assuming the trees are all the same size, let's say each tree has a radius of 1 foot. Thus, the area occupied by one tree would be:
A_tree = π(1²) = π square feet
Now, we need to consider the space between the trees. Taylor wants to leave a 2-square-foot area between each tree. Since there are three spaces between four trees, we multiply the space required between the trees by 3:
3 spaces x 2 square feet per space = 6 square feet for the spaces
Finally, we sum the area occupied by the trees and the space required between them:
Total square footage required = (Area of one tree x Number of trees) + Space between trees
= (π square feet x 4 trees) + 6 square feet
= 4π + 6 square feet
So, Taylor would need 4π + 6 square feet for the trees.