Four regular hexagons are drawn so as to form the design as shown in figure. If the perimeter of the design is 144 cm, find the length of each side of the hexagon.

18 cm

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12 cm

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8 cm

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None of the above

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Solution

The correct option is C 8 cm
Given, perimeter of the figure is 144 cm
We know that, regular hexagon has 6 equal sides.
Let the side be $x$
Count the number of exterior sides for the figure i.e. 18
$\Rightarrow 18 \times x = 144$
$\Rightarrow x = \frac{144}{18}$
$\Rightarrow x = 8 c m$

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Four regular hexagons are drawn so as to form the design as shown in figure. If the perimeter of the design is 144 cm, find the length of each side of the hexagon.

The correct option is C 8 cmGiven, perimeter of the figure is 144 cm We know that, regular hexagon has 6 equal sides. Let the side be x Count the number of exterior sides for the figure i.e. 18 ⇒18×x=144 ⇒x=14418 ⇒x=8 cm

The correct option is C 8 cm
Given, perimeter of the figure is 144 cm
We know that, regular hexagon has 6 equal sides.
Let the side be $x$
Count the number of exterior sides for the figure i.e. 18
$\Rightarrow 18 \times x = 144$
$\Rightarrow x = \frac{144}{18}$
$\Rightarrow x = 8 c m$