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
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