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Q.

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 perimeters of the triangles so formed is _______.


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a

8(2+2)

b

8(1+2)

c

4(1+2)

d

4(2+2) 

answer is D.

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Detailed Solution

Sum of the perimeter of the figure
AO+OB+BA+BO+OC+CB+OC+CD+DO+DO+OA+AD
 =AB+BC+CD+AD+2(AC+BD)
Length of diagonal =22​)​
= 4(2)+2(22​)
= 4(2+2​)
Hence, Option 4 is the correct option.
 
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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 perimeters of the triangles so formed is _______.