The number of chickens in each coop is 42.
Since the length of the square gated chicken farm is L = 18 m, and the diameter of each chicken coop, D.
Diameter of each coop
From the diagram, we have that L = 2D
So, D = L/2
= 18 m/2
= 9 m
Area of each coop
Since each coop is a circle of diameter, D = 9 m, its area A = πD²/4
= π(9 m)²/4
= 81π/4 m²
= 254.47 m²/4
= 63.62 m².
Number of chickens in each coop
Since each chicken requires an area of 1.5 m², and the area of the coop is A = 63.62 m².
The number of chickens in each coop a = area of coop/area occupied by chicken = 63.62 m²/1.5 m²
= 42.4
≅ 42 chickens
So, the number of chickens in each coop is 42.
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