The area of a shape is the amount of space it occupies
The area of the regular pentagon is 58.1 square centimeters
The given parameters are:
[tex]a = 4cm[/tex] -- the apothem
[tex]l = 5.81cm[/tex] --- the side length
[tex]n=5[/tex] --- the number of sides of a pentagon
The area (A) of the pentagon is then calculated using:
[tex]A = \frac {nal}2[/tex]
This gives
[tex]A = \frac {5 \times 4cm \times 5.81cm}2[/tex]
Divide 4 cm by 2
[tex]A = 5 \times 2cm \times 5.81cm[/tex]
Multiply the factors
[tex]A = 58.1cm^2[/tex]
Hence, the area of the regular pentagon is 58.1 square centimeters
Read more about areas at:
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