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Question: The sides of a regular hexagon are extended to form 6 congruent triangles. If the length of one side of the hexagon is 10 cm, then find the total area of the figure in sq.cm.


A ) 3503 sq.cm
B ) 3003 sq.cm
C ) 4003 sq.cm
D ) 102 sq.cm

Steps to derive



2 ABCDEF is the hexagon
 [Figure.]

3 mPAB = mPBA = 60
 [mEAB = mCBA = 120.]

4 ΔPAB is equilateral
 [Step 3.]

5 Area of the figure = Area of the hexagon + area of 6 equilateral triangles

6 = 12 × area of one equilateral triangle

7 = 12 × 34 × 10 × 10

8 = 3003 sq.cm



Hence the right answer is Option B

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