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Answer:
Therefore the smallest parameters is (6,6) and a dimension of 24 inches
Step-by-step explanation:
From the question we are told that
area of dimension is [tex]A=36[/tex]
Generally the perimeter of rectangle is given as
[tex]x,y=36[/tex]
Given by
[tex](x,y)=2x+2y[/tex]
Mathematical solving for perimeter of rectangle
[tex]x=\frac{36}{y}[/tex]
[tex]f(y)= 2\frac{36}{2} +2y\\f(y)= \frac{72}{y} +2y[/tex]
Generally in finding minimum perimeter
[tex]f'(y)=\frac{-72}{y^2} +2=0\\[/tex]
[tex]y=6[/tex]
[tex]f(6,6)=2(6)+2(6) \\f(6,6)=24 inches[/tex]
Therefore the smallest parameters is (6,6) and a dimension of 24 inches