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ABCD is a square of area of 4 square uni...

ABCD is a square of area of 4 square units which is divided into 4 non overlapping triangles as shown in figure, then sum of perimieters of the triangles so formed is

A

`8(2+sqrt(2))` units

B

`8(1+sqrt(2))` units

C

`4(1+sqrt(2))` units

D

`4(2+sqrt(2))` units

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