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.
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Each plant has an area of 3.5*3.5 sq ft = 12.25 sq ft
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43560/12.25 =~ 3555 plants
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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(52775) (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.
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comment from student : The information is in an agricultural guide. Answer is same as yours.
Wasn't sure how they arrived at answer.
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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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