Question

HELPPP PLEASE 20 POINTS What is the surface area of this design?

Answer 1

Option D:

The surface area of the design is 197 in².

Solution:

Area of the front face = $\frac{1}{2}\times \text{sum of parallel sides} \times \text{height}$

                                      $=\frac{1}{2}\times (5 + 9)\times 5$

                                      = 35 in²

Area of back face = $\frac{1}{2}\times \text{sum of parallel sides} \times \text{height}$

                                      $=\frac{1}{2}\times (5 + 9)\times 5$

                                      = 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.