Question 1175308: A nursery is planting seedlings in a plot that is 10 feet by 14 feet. How many seedlings will fit if each seedling is in a 1-foot square peat pot and each peat pot needs to be planted 3 feet apart from another?
Answer by greenestamps(13200)   (Show Source):
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The maximum number of seedlings will be fitted in the plot if you start with a pot in one corner.
The number of feet in a row of n seedlings, with a seedling at each end, is 4n+1. (n+3n = 4n feet for each seedling starting from the beginning of the row, plus 1 foot for the last seedling.)
In the 14 foot direction, the maximum number of seedlings in a row is 3, because 4(3)+1=13 is less than 14 while 4(4)+1=17 is greater than 14.
Similarly in the 10 foot direction the maximum number seedlings n a row is 2.
So the maximum number of seedlings is with 3 in a row in one direction and 2 in a row in the other direction, for a total of 6.
ANSWER: 6 seedlings
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