Respuesta :

The approximated area of the pentagon that has side lengths of 14.1 cm and an apothem of 12 cm is 342 square centimeters

How to determine the area?

The given parameters are:

Length, l = 14.1 cm

Apothem, a = 12 cm

The area of the pentagon is calculated using:

[tex]A= 0.25 * \sqrt{5 * (5 + 2\sqrt 5)} * l^2[/tex]

So, we have:

[tex]A= 0.25 * \sqrt{5 * (5 + 2\sqrt 5)} * 14.1^2[/tex]

Evaluate

A = 342

Hence, the approximated area of the pentagon is 342 square centimeters

Read more about areas at:

https://brainly.com/question/24487155

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Answer:

342 cm2  B)

Step-by-step explanation:

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