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Maths

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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 -

    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 -

    90000/8 = 11250 vertically
    90000/3 = 30000 horizontally

    so, 11250*30000 = 337500000 in all

  • Maths -- oops -

    misread the problem - never mind

  • Maths -

    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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