Answer:
[tex]\text{The surface area of triangular prism is }96 yd^2[/tex]
Step-by-step explanation:
Given the triangular prism with dimensions.
we have to find the surface area of triangular prism.
Base and height of right triangle of triangular prism are
[tex]Base, b=4 yd[/tex]
[tex]Height, h=9 ft=9\times 0.3333...=3 yd[/tex]
[tex]Height, H=7 yd[/tex]
The surface area of triangular prism can be calculated as
[tex](Base\times Height)\text{of right triangle}+\text{sum of sides of triangle}\times H[/tex]
[tex]=bh+(s_1+s_2+s_3)\times H[/tex]
[tex]=(4\times 3)+(3+4+5)\times 7[/tex]
[tex]=12+12\times 7=12+84=96 yd^2[/tex]
[tex]\text{hence, the surface area of triangular prism is }96 yd^2[/tex]
Option D is correct.
