Mathematics: 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)

Mr. Arthur is planning Arthur s Apple Orchard. Each

dianacastro8298

02.02.2022

681 Trees

Step-by-step explanation:

Given

$Land\ Area = 5\ acre$

$Unit\ Tree = 16ft\ by\ 20ft$

Required

Determine the number of trees

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

$Area = 16ft\ * 20\ft$

Area = 320ft^2

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

$Number = \frac{Land\ Area}{Unit\ Tree\ Area}$

$Number = \frac{5 Acre}{320ft^2}$

Convert Acre to ft²

$Number = \frac{5 * 43560 ft^2}{320ft^2}$

$Number = \frac{217800 ft^2}{320ft^2}$

Number = 680.625

$Number = 681\ trees\ (Approximated)$

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