Question

Find the total surface area.A. 94.4 km²B. 71.2 km²C. 102.9 km²D. 55.6 km²

Answer 1

The area of the solid shape can be obtained by dividing the surfaces into different parts and finding each area and summing all the areas together.

Surface 1----> rectangle with dimensions 4km by 2km

`\begin{gathered} A_1=l* b \\ A_(1)=4*2=8km^(2) \end{gathered}`

Surface 2 ---> rectangle with dimensions 8km by 2km

`A_2=8*2=16km^2`

Surface 3 ----> rectangle with dimensions 8km by 2km

`A_3=8*2=16km^2`

Surface 4 ----> triangle with a base 8km and a height of 3.9km

`A_4=(1)/(2)* b* h=(1)/(2)*8*3.9=15.6km^2`

Surface 5 ----> triangle with base 8km and height 3.9km

`A_5=(1)/(2)*8*3.9=15.6km^2`

The total surface area of the solid shape is

`A_T=8+16+16+15.6+15.6=71.2km^2`

Option B is the answer.