What is the area of a regular pentagon with sides 4 cm.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The area of a regular pentagon with sides s is given by the formula `A = (1/4)*sqrt(5*(5+2*sqrt 5))*a^2` .

For a regular pentagon with sides 4 cm the area is:

`(1/4)*sqrt(5*(5+2*sqrt 5))*4^2`

= `sqrt(5*(5+2*sqrt 5))*4`

= `4*sqrt(5*(5+2*sqrt 5))`

`~~ 27.527` cm^2

The area of a regular pentagon with sides 4 cm is approximately 27.527 cm^2

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