Posted by **J** on Tuesday, May 22, 2012 at 5:07am.

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.

- Maths -
**Reiny**, Tuesday, May 22, 2012 at 9:58am
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.

- Maths -
**Steve**, Tuesday, May 22, 2012 at 9:59am
90000/8 = 11250 vertically

90000/3 = 30000 horizontally

so, 11250*30000 = 337500000 in all

- Maths -- oops -
**Steve**, Tuesday, May 22, 2012 at 10:00am
misread the problem - never mind

- Maths -
**J**, Wednesday, May 23, 2012 at 10:48am
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

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