Find area

Geometry Level 2

Area of decagon is 100, find the area of the orange band.

60 40 25 55

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1 solution

Regular Hexagon Regular Hexagon From above figure,

Area of triangle ABC = (1/2) x Base x Altitude = (1/2) x BC x AD,

Area of triangle = Area of Decagon/10 = 100/10 = 10,

Hence, BC x AD = 20,

BC x (2 x AD) = 2 x 20 = 40 = Area of the rectangle!

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