Question 1075851
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I will assume that the polygon is a REGULAR polygon.


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The number of sides is {{{360/10}}} = 36.


The side length is {{{108/36}}} = 3 cm.


The apothem "a" is  {{{3/a}}} = {{{tan(10^o/2)}}} = tan(5°),  or  a = {{{3/tan(5^o)}}}.


Then the area = {{{(P*a)/2}}} = {{{(108*3)/(((2*3)/tan(5^o))))}}} = 54*tan(5°) {{{cm^2}}}.


I leave it to you to calculate the number.
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