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Side CD of rectangleADCD  measures 12 meters, as shown. Each of the three triangles with a side along segment CD  is an equilateral triangle. What is the total area of the shaded regions? Express your answer in simplest radical form.

 Dec 4, 2018

12 / 3 = 4 m - side of each equilateral triangle on segment CD.

You have 2 of them shaded.

So, the shaded area =2 x [1/2 x sin(60) x 4 x 4] =16sqrt(3) /2 = 8sqrt(3)

 Dec 4, 2018

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