A $n$ sided polygon space is formed by overlapping sides of adjacent regular pentagons, i.e., two pentagons have a common side, as shown in the figure. If any number of pentagons can be used in similar fashion, what is the name of the polygon such that the value of $n$ is minimum?

Triangle

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Quadrilateral

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Pentagon

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of the above.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B Quadrilateral
It is required to create a space by connecting regular pentagons such that two adjacent pentagons have a common side.

For the formed space to be a minimum-sided polygon, the following arrangement is possible.

The required space has $4$ sides.
Hence, it is a quadrilateral.

Suggest Corrections

Similar questions

What is the sum of the interior angles of a regular pentagon (regular polygon of 5 sides)?

6

∠ E D F = 90^{\circ}

n

Pentagon is a polygon with ___ sides.

(1 + 2 λ) y - (2 + λ) x + 1 - λ = 0

sin 36

^{o}

Join BYJU'S Learning Program