Option B. 12β3
Step-by-step explanation:
Lateral area of the solid figure will be = 3Γ(one lateral side )
Area of a lateral side of the given triangle = (1/2) Γ (height) Γ (Base)
Height of an isosceles triangle with a side 4 will be = β(4Β² - 2Β²) = β(16-4)= β12 = 2β3
Now area of one lateral side = (1/2)Γ(2β3)Γ(4) = 4β3
Therefore lateral area of the solid figure = 3Γ(4β3) = 12β3