Question: A rectangle has an area of ( 1 6 mathrm { in } ^ { 2 } ) . We want to

A rectangle has an area of \(16\mathrm{in}^{2}\). We want to determine the smallest perimeter possible for such a rectangle.
1. What quantity are you optimizing?
2. What quantity is fixed?
3. Determine the objective function in one variable
4. Graph your objective function on Desmos and give a sketch of the graph.
5. Identify the coordinates of the minimum value of your graph
6. What is the minimum perimeter?
7. Give the dimensions of the rectangle with minimum area.
A rectangle has an area of \ ( 1 6 \ mathrm { in

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