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