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1 Answer
CW
Apr 18, 2018

16sqrt3+32 " unit"^216√3+32 unit2

Explanation:

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AB=CD=2+2+2+2=8AB=CD=2+2+2+2=8 units,
DeltaLMN is equilateral,
=> PL=4sin60=4*sqrt3/2=2sqrt3 units
AD=BC=2+2sqrt3+2=2sqrt3+4 units
area of rectangle ABCD=AD*AB=(2sqrt3+4)*8=16sqrt3+32 " units"^2

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