Answer:
Total Area = 1070 m^2
Step-by-step explanation:
we have 4 different surfaces
- the "ramp"
- the triangles (2) one for each side
- the bottom rectangle
- the back rectangle
1. the ramp
[tex]A_r = 15\times 30\\\\A_r = 450[/tex]
2. the triangles
since they are the same we just multiply by two
[tex]A_t = \frac{8\times 10}{2}\\\\A_t = \frac{80}{2}\\\\A_t = 40[/tex]
so the areas of the two triangles is
[tex]2A_t = 2(40)\\\\2A_t = 80[/tex]
3. the bottom rectangle
[tex]A_{bot} = 10\times 30\\\\A_{bot} = 300[/tex]
4. the back rectangle
[tex]A_{back} = 8\times 30\\\\A_{back} = 240[/tex]
now add them together
[tex]A_T=A_r+2A_t+A_{bot}+A_{back}\\\\A_T = 450+80+300+240\\\\A_T = 1070\: m^2[/tex]
