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A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm

What is the area of the pentagon, rounded to the nearest tenth.

A. 13.8 cm2

B. 17.3 cm2

C.32.7 cm2

D. 69.0 cm2

A regular pentagon has an apothem measuring 3 cm and a perimeter of 218 cm What is the area of the pentagon rounded to the nearest tenth A 138 cm2 B 173 cm2 C32 class=

Respuesta :

taskmasters
The area of a regular polygon is half of the product of the perimeter and the apothem. In equation form,
                                           A = 0.5aP
                                           A = 0.5(3 cm)(21.8 cm)
                                           A = 32.7 cm²
Thus, the answer for this item is letter C. 32.7 cm².
MrRoyal

The area of the pentagon is 32.7 cm^2

The given parameters are:

Perimeter (p) = 21.8 cm

Apothem (a) = 3 cm

The area of the pentagon is then calculated as:

[tex]Area = 0.5 * a * p[/tex]

So, we have:

[tex]Area = 0.5 * 3 * 21.8[/tex]

Evaluate the products

[tex]Area = 32.7[/tex]

Hence, the area of the pentagon is 32.7 cm^2

Read more about regular polygons at:

https://brainly.com/question/1601601

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