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Two regular hexagon perimeters of 30 cm each are joined as shown in the figure. The perimeter of the new figure is _____.

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65 cm

60 cm

55 cm

50 cm

answer is D.

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Detailed Solution

Given, Perimeter of regular hexagon = 30 cm

and, Number of sides in a hexagon =6

Length of one side = $\frac{P e r i m e t e r o f a h e x a g o n}{T o t a l n u m b e r o f s i d e s} = \frac{30}{6} = 5 c m$

Now,

the perimeter of new figure = Sum of all sides =AB+BC+CD+DE+EF+FG+GH+HI+IJ+JA

=5+5+5+5+5+5+5+5+5+5=50 cm

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