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ABCD is a rectangle and there are four e...

ABCD is a rectangle and there are four equilateral triangles . Area of `DeltaASD` equals to area of `DeltaBQC ` and area of `DeltaDRC` equals to area of `Delta`APB. The perimeter of the rectangle is 12 cm. Also the sum of the areas of the four triangles is ` 10 sqrt(3) cm^(2)` then the total area of the figures thus formed :

A

`2( 4+ 5sqrt(3)) cm^(2) `

B

`5(4+2sqrt(3)) cm^(2) `

C

`42 sqrt(3) `

D

none of these

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The correct Answer is:
A
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