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Please help me with this

Please help me with this-example-1

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Area of a regular polygon = 1/2 x apothem x perimeter

We know that each side is 10, because if you draw a segment from the center to a vertex it creates a 30-60-90 triangle (those are the angles). This type of triangle has a ratio for its sides where the longer side is radical three times as long as the shorter leg. This shorter leg happens to be half of a side of the polygon. Knowing that the polygon has 6 sides, we can multiply 10 by 6 to get the perimeter.

Area of polygon = 1/2 x apothem x perimeter = 1/2 x 5
√(3) x 60
=30 x 5
√(3)
= 30 x 5 x 1.73205080757
= 150 x 1.73205080757
=
259.807621135

To the nearest tenth of a cm, the area of the polygon is 260 cm squared
User Theveloper
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