Question 939454
{{{A =(1/2)bh =  (1/2)(2x)x }}}= 27cm^2
x^2 = 27  (tossing out negative solution for unit measure)
x = 3√3, the height
base  = 6√3
....
Right Triangle
*[illustration Pythagorean_theorem_3.jpg].
(3√3)^2 + (6√3)^2 = c^2
27 + 108 = c^2
c^2 = 135
c =  3√15
....
P = 9√3 + 3√15