How many trees can be planted in an area of 90000 sq feet if vertically 8 feet distance and horizontally 3 feet distance is to be kept? Pl show the method of calculations.
You don't say which shape the field of trees should be.
Could it be a rectangle? Is it a square ? A circle ? perhaps an ellipse?
Let's assume the field is square, each side x feet long
then x^2 = 90000
x = 300
for each row:
300/3 = 100 , plus we can plant 1 tree at the start of the row
so in each row can have 101 trees
for each column:
300/8 = 37.5 ---> 37 trees + 1 at the start of the column
so each columns can have 38 trees
Number of trees = 38x101 = 3838
suppose the field was not a square,
let's pick a rectangle of 250 by 360 (area = 90000)
number of trees with 8 ft apart = 45 + 1 at the start = 46
number of trees with 3 ft apart = 83.33 +1 = 84
number of trees = 46x84 =3864 , ahhhh more trees.
Looks like a Calculus Optimization problem, or else I am over-thinking the problem.
Let me know if you know the shape of the field before I proceed.
90000/8 = 11250 vertically
90000/3 = 30000 horizontally
so, 11250*30000 = 337500000 in all
misread the problem - never mind
Dear Rainy,
Shape is 300 * 300 so total 90000 sq feet.
Now since u know the shape, can u pl guide abt the answer. Thank u v much in advance.
J
To calculate the number of trees that can be planted in a given area while considering the vertical and horizontal distances, we need to make a few assumptions:
1. The trees are planted in a rectangular grid pattern.
2. Each tree is planted at the center of a square area defined by the given vertical and horizontal distances.
3. The trees are planted without any overlapping or gaps between them.
Now, let's calculate the number of trees that can be planted.
Step 1: Calculate the area covered by each tree
Since the trees are planted with an 8 feet vertical distance and a 3 feet horizontal distance, the area covered by each tree can be calculated as the product of these distances:
Area covered by each tree = 8 feet * 3 feet = 24 square feet
Step 2: Calculate the number of trees
To determine the number of trees that can be planted in the given 90000 sq feet area, divide the total area by the area covered by each tree:
Number of trees = Total area / Area covered by each tree
Number of trees = 90000 sq feet / 24 square feet
Calculating this division will give us the desired result:
Number of trees = 3750 trees
Therefore, based on the given vertical and horizontal distances, you can plant 3750 trees in an area of 90000 sq feet.