Answer:
[tex]Area = 51.68yd^2[/tex]
Step-by-step explanation:
Given
[tex]h = 9yd[/tex] -- height
[tex]a = 2.5yd[/tex] --- base sides
Required
Determine the surface area
The net is not given. So, I will solve directly.
The surface area is calculated as:
[tex]Area = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}[/tex]
So, we have:
[tex]Area = 2.5^2 + 2*2.5\sqrt{\frac{2.5^2}{4} + 9^2}[/tex]
[tex]Area = 6.25 + 5\sqrt{\frac{6.25}{4} + 81}[/tex]
[tex]Area = 6.25 + 5\sqrt{1.5625 + 81}[/tex]
[tex]Area = 6.25 + 5\sqrt{82.5625}[/tex]
[tex]Area = 6.25 + 5* 9.086[/tex]
[tex]Area = 51.68yd^2[/tex]
