Option D:
The surface area of the design is 197 in².
Solution:
Area of the front face = [tex]\frac{1}{2}\times \text{sum of parallel sides} \times \text{height}[/tex]
[tex]=\frac{1}{2}\times (5 + 9)\times 5[/tex]
= 35 in²
Area of back face = [tex]\frac{1}{2}\times \text{sum of parallel sides} \times \text{height}[/tex]
[tex]=\frac{1}{2}\times (5 + 9)\times 5[/tex]
= 35 in²
Area of left side face = base × height
= 5 × 5
= 25 in²
Area of top face = base × height
= 5 × 5
= 25 in²
Area of bottom face = base × height
= 9 × 5
= 45 in²
Area of right side face = base × height
= 5 × 6.4
= 32 in²
Surface area of the design = 35 + 35 + 25 + 25 + 45 + 32
= 197 in²
The surface area of the design is 197 in².
Option D is the correct answer.
