Answer:
\(SA=578\text{ mm}^2\)
Step-by-step explanation:
We can find the total surface area of the figure by adding the areas of each of its sides:
\(SA = 2( A_\triangle) + 2(A_{\square1}) + A_{\square2}\)
Plugging in the sides' respective area formulas, we get:
\(SA = 2(\frac{1}{2}bh) + 2(l_1w_1) + 2(l_2w_2)\)
We can define the following variable values based on the given drawing:
Plugging these numerical values into the surface area equation, we get:
\(SA = 2(\frac{1}{2})(10.2)(6) + 2(19)(8.5) + 2(19)(10.2)\)
Evaluating the expression on the right side, we get:
\(\boxed{SA=578\text{ mm}^2}\)
