SOLUTION: A company makes two sizes of solar panels in the shape of a regular hexagon. The length of the two hexagon's sides are in a ratio of 2 to 3. If the area of the smaller solar panel

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Question 947185: A company makes two sizes of solar panels in the shape of a regular hexagon. The length of the two hexagon's sides are in a ratio of 2 to 3. If the area of the smaller solar panel is 8 square feet, what is the area of the larger solar panel?

Answer by Alan3354(69443) About Me  (Show Source):
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A company makes two sizes of solar panels in the shape of a regular hexagon. The length of the two hexagon's sides are in a ratio of 2 to 3. If the area of the smaller solar panel is 8 square feet, what is the area of the larger solar panel?
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The area of a regular polygon is a function of the square of the side length.
For these 2 similar polygons the longer side is 1.5 times the shorter side.
--> 8*1.5^2
= 18 sq ft