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Two regular hexagons of perimeter 30 cm each are joined as shown in the adjoining figure. The perimeter of the new figure is

Two regular hexagons of perimeter 30 cm each are joined as shown in the adjoining figure. The perimeter of the new figure is. Perimeter & Area Mensuration, ML Aggarwal Understanding Mathematics Solutions ICSE Class 6.
  1. 65 cm

  2. 60 cm

  3. 55 cm

  4. 50 cm

Mensuration

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Answer

Given:

Perimeter of each regular hexagon = 30 cm

Side of each hexagon = 306\dfrac{30}{6} = 5 cm

When two hexagons are joined along one side, one side of each hexagon (5 cm) coincides.

Sum of perimeters of both hexagons = 30 + 30 = 60 cm

Perimeter of new figure = 60 - 2 × 5

= 60 - 10

= 50 cm

Hence, option 4 is the correct option.

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