Mr. Arthur is planning Arthur's Apple Orchard. Each tree is allotted a 16 ft by 20 ft area to
grow. If the orchard has 5 acre"), how many trees could be planted to maximize
production? (1 acre = 43,560 ft)

Respuesta :

Answer:

681 Trees

Step-by-step explanation:

Given

[tex]Land\ Area = 5\ acre[/tex]

[tex]Unit\ Tree = 16ft\ by\ 20ft[/tex]

Required

Determine the number of trees

First, we need to calculate the area occupied by each tree

[tex]Area = 16ft\ * 20\ft[/tex]

[tex]Area = 320ft^2[/tex]

Next, is to determine the number of trees using the following formula

[tex]Number = \frac{Land\ Area}{Unit\ Tree\ Area}[/tex]

[tex]Number = \frac{5 Acre}{320ft^2}[/tex]

Convert Acre to ft²

[tex]Number = \frac{5 * 43560 ft^2}{320ft^2}[/tex]

[tex]Number = \frac{217800 ft^2}{320ft^2}[/tex]

[tex]Number = 680.625[/tex]

[tex]Number = 681\ trees\ (Approximated)[/tex]