Answer:
[tex]la = 588 \: \: {cm}^{2} [/tex]
Step-by-step explanation:
Lateral area for trapezoidal prism:
- Is the sum of all the areas excluding the base area.
la - Lateral area
[tex]a = 20\\ b = 10 \\ c = 10 \\ d = 9 \\ l = 12[/tex]
[tex]la = al + \: bl + \: cl + \: dl[/tex]
[tex]la = l(a + \: b + \: c + \: d)[/tex]
[tex]la = 12(20 + 10 + 10 + 9)[/tex]
[tex]la = 588 \: \: {cm}^{2} [/tex]
