Answer:
The answer to your question is At = 48 + 36[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Area = Area of the base + Lateral area
a) Area of the base
Area = length x height / 2
length = 12
height² = 12² - 6²
= 144 - 36
= 108
height = [tex]\sqrt{108}[/tex] = 6[tex]\sqrt{3}[/tex]
Area = 12 x 6[tex]\sqrt{3} / 2[/tex]
= 36[tex]\sqrt{3}[/tex]
b) Lateral area
height² = 10² - 6²
= 100 - 36
= 64
height = 8
Area = 12 x 8/2
= 48
c) Total area
At = 48 + 36[tex]\sqrt{3}[/tex]
