The area is the total area of each side of the figure given above. We are given all measurements of the sides of the prism. We can use heron's formula to solve for each area and sum it up for the total area of the figure. The formula to be used would be:
A = √p(p-a)(p-b)(p-c)
where p = ( a+b+c ) / 2
Triangle AEB and AED
p = 12
A = 24 cm^2
Triangle DEC and CEB
p = 20
A = 60 cm^2
Total area = 60x2 + 24x2 = 168 cm^2