Question

I NEED HELP WHAT IS THE ANSWER TO THIS

Answer 1

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:

• $b=10.2$
• $h=6$

• $l_1 = 19$
• $w_1=8.5$

• $l_2=19$
• $w_2=10.2$

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:

$\boxed{SA=578\text{ mm}^2}$