In this question , apothem length = [tex] 5 \sqrt 3 [/tex]
And its a hexagon . So on using pythagorean identity, we will get , side length =2*5=10
Perimeter of hexagon = 6 *10 =60
Area= 0.5 *apothem*perimeter= [tex] 0.5*5 \sqrt 3 * 60 = 30 \sqrt 3 [/tex]
Area = 52.0