Problema Solution
A farmer wants to know what the plant population is in a corn field. the rows are 20 inches apart and, on average, the plants are 10.5 inches apart in rows. how many plants per acre does the farmer have?
Answer provided by our tutors
we will assume that the filed is a square
1 ac = 6272640 in^2
thus the length of the side of the field is a = (6272640)^0.5
number of rows in the field is
a/20 + 1 = (6272640)^0.5/20 + 1 = 126.22 > 126
in each row the plants are 10.5 inches apart and toe row is 100 m long thus the number of plants is
(6272640)^0.5 /10.5+ 1 = 239.62 > 239
thus we have 126 rows with 239 plants each
the total number of plants is 126*239 = 30,114 plants.