The midpoints of a regular hexagon are connected to form a smaller hexagon. The small hexagon has perimeter $2\sqrt{3}.$ What is the perimeter of the large hexagon

Explanation:

Given,

The perimeter of small hexagon =

To find, the perimeter of the large hexagon = ?

We know that,

The perimeter of the large hexagon

× The perimeter of small hexagon

=

= 6 × 2

= 12 units

∴ The perimeter of the large hexagon = 12 units

Thus, the perimeter of the large hexagon is equal to 12 units.

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