SOLUTION: Ref. Question 1144481: An acre field has 3 plants per hill. The rows are 3'6" apart, with hills 3'6" apart. ** Calculate total number of plants. 3'6" = 3.5 ft. An ac

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Question 1144667: Ref. Question 1144481:

An acre field has 3 plants per hill. The rows are 3'6" apart, with hills 3'6" apart. **
Calculate total number of plants.
3'6" = 3.5 ft.
An acre = 43560 ft.
p = number of plants.
** Information about the hills was excluded in original post.

Not sure how to solve. Non-homework.

Found 3 solutions by Alan3354, ikleyn, greenestamps:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
An acre field has 3 plants per hill. The rows are 3'6" apart, with hills 3'6" apart. **
Calculate total number of plants.
3'6" = 3.5 ft.
An acre = 43560 ft.
p = number of plants.
-------------
Each plant has an area of 3.5*3.5 sq ft = 12.25 sq ft
-----
43560/12.25 =~ 3555 plants
==========================
But, p might vary with the shape.
If the field is a triangle or a circle or some other shape the # can be different.
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
To learn what "per hill" means, as well as what "growing plants on a hill" means,

consult these links



    https://homeguides.sfgate.com/spacing-hills-mean-90658.html


    https://homeguides.sfgate.com/many-cucumber-seeds-plant-hill-52712.html     


    (demonstrate your elementary curiosity . . . ).



The area for one hill is  3.5 ft x 3.5 ft = 12.25 square feet per hill.


The number of hills in 1 acre area is  then   = 3556 (approximately).


With 3 plants per hill, the number of plants is  3556*3 = 10668.    ANSWER


4-th grade problem of a primary school,  I assume.



----------------
comment from student :  The information is in an agricultural guide. Answer is same as yours.
                                        Wasn't sure how they arrived at answer.
----------------


My response :   Thank you for your info.
                         It is good comment to the solution by @greenestamps.



Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


The planting scheme is still not described clearly enough.

The two answers from other tutors simply calculate how many square hills 3 feet 6 inches on a side will fit in an acre. That interpretation means the hills are all adjacent to each other -- which means they aren't hills at all.

With rows 3 feet 6 inches apart, and the hills 3 feet 6 inches apart (in each row), I think the arrangement of the hills ("XXXXX") looks something like this (pardon the crude text "drawing"):

    +-----+-----+-----+-----+-----+-----+-----+
 ...|XXXXX|     |XXXXX|     |XXXXX|     |XXXXX|  <-- row; hills 3'6" apart
    +-----+-----+-----+-----+-----+-----+-----+
    |     |     |     |     |     |     |     |  <-- 3'6" between rows
    +-----+-----+-----+-----+-----+-----+-----+
 ...|XXXXX|     |XXXXX|     |XXXXX|     |XXXXX|  <-- row; hills 3'6" apart
    +-----+-----+-----+-----+-----+-----+-----+
    |     |     |     |     |     |     |     |  <-- 3'6" between rows
    +-----+-----+-----+-----+-----+-----+-----+
 ...|XXXXX|     |XXXXX|     |XXXXX|     |XXXXX|  <-- row; hills 3'6" apart
    +-----+-----+-----+-----+-----+-----+-----+
    |     |     |     |     |     |     |     |  <-- 3'6" between rows
    +-----+-----+-----+-----+-----+-----+-----+
 ...|XXXXX|     |XXXXX|     |XXXXX|     |XXXXX|  <-- row; hills 3'6" apart
    +-----+-----+-----+-----+-----+-----+-----+
                                                  etc....

With that scheme, it can be seen that 1/4 of the area of the field is hills where the plants are planted.

So I would guess the desired answers are 1/4 the number of hills and therefore 1/4 the number of plants shown by the other two tutors.

Area of each square: 3.5^2 = 12.25 square feet

Number of squares of area 12.25 square feet each in an acre: 43560/12.25 = 3556

Number of hills: 3556/4 = 889

Number of plants: 889*3 = 2667
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