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A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.



What is the approximate area of the hexagon?


224 cm2

336 cm2

448 cm2

672 cm2

Respuesta :

kudzordzifrancis

ANSWER

672cm²

EXPLANATION

The area of a regular hexagon is given by the formula,

[tex]Area = \frac{1}{2} ap[/tex]

where a=14cm is the apothem and p=96cm is the perimeter of the regular hexagon.

We substitute the values into the formula,

[tex]Area = \frac{1}{2} \times 14 \times 96 {cm}^{2} [/tex]

[tex]Area =672 {cm}^{2} [/tex]

Therefore the approximate area of the hexagon is 672cm²

ayfat23

The approximate area of the hexagon is  [tex]672cm^2[/tex]

What is an area?

Area is the quantity that expresses the extent of a two-dimensional region, shape.

This area can be calculated as [tex]1/2* (apothem) *(perimeter)[/tex]

But we were given where apothem as (14cm) is the apothem and perimeter of the hexagon  as (96cm)

If we input the values

[tex]Area= (1/2*14*96)[/tex]

[tex]Area=672cm^2[/tex]

Therefore, option D is correct.

Learn more about area of a hexagon at:

https://brainly.com/question/22624022

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