SOLUTION: A rectangular orchard contains 864 trees, placed that the number of rows is to the number of trees in a row, as 3 is to 2. Trees are 7 yards apart. Determine amount of land the or

Algebra.Com
Question 1130834: A rectangular orchard contains 864 trees, placed that the number of rows is to the number of trees in a row, as 3 is to 2. Trees are 7 yards apart. Determine amount of land the orchard occupies.
Not sure how to solve. Non-homework.

Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
The number of rows is 3x and the number of trees in each row is 2x, according to the condition,

where x is the common measure (now unknown) of these two numbers.


In addition, we know that the total number of threes in the garden is 864:


    (3x)*(2x) = 864.


It gives you 


     6x^2 = 864

     x^2 = 864/6 = 144  ====>  x =  = 12.


Thus the length of each row is 7*(2x) = 7*2*12 = 168 yards.


The other dimension of the garden is  7*(3x) = 7*3*12 = 252 yards.


You may want to add a uniform strip around this rectangle of 7/2 = 3.5 yards wide.


It depends on conditions that are not defined clearly and explicitly in the problem, so I leave it up to you.



RELATED QUESTIONS

The Ortegas have an apple orchard that contains 150 trees. The number of trees in each... (answered by ewatrrr)
An orchard has 864 orange trees. The number of rows exceeds the number of trees per row... (answered by ikleyn)
An apple orchard that contains 90 trees. The number of trees in each row is 3 more than... (answered by ankor@dixie-net.com)
An apple orchard contains 85 trees. The number of trees in each row is three less than... (answered by richard1234)
An apple orchard contains 96 trees. The number of trees in each row is 4 less than twice... (answered by ewatrrr)
In a certain orchard there are 4 more rows of trees than there are trees in a row; and if (answered by Boreal)
in a certain orchard there are 4 more rows of trees than there are trees in a row; & if... (answered by ikleyn,josmiceli)
An apple orchard contains 84 trees. The number of trees per row is five more than the... (answered by Mathtut)
The Lassalle’s have an orange grove that contains 90 trees. The number of trees in each... (answered by richwmiller)