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Likurg_2 [28]
4 years ago
5

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
Chemistry
1 answer:
Murrr4er [49]4 years ago
4 0
<h2>The perimeter of the large hexagon is equal to 12 units.</h2>

Explanation:

Given,

The perimeter of small hexagon = 2\sqrt{3}

To find, the perimeter of the large hexagon = ?

We know that,

The perimeter of the large hexagon

= \dfrac{6}{\sqrt{3}} × The perimeter of small hexagon

= \dfrac{6}{\sqrt{3}} \times 2\sqrt{3}

= 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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