The area of a glass solar panel needs to be at a maximum to “collect” the greatest amount of…

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The area of a glass solar panel needs to be at a maximum to “collect” the greatest amount of sunlight possible. The shape of the flat solar panel is allowed to vary but the metal strip around the edge of the panel (i.e., around the perimeter) is to be kept at a constant value of 8m to minimise the cost of making the object. For the shapes provided, determine the area of the various panels and hence identify the shape with the maximum area.

Glass panel is square:

The metal strip is 8 m. Determine the length of each side and hence the area of the square panel.

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