Answer:
D. 69 in.²
Step-by-step explanation:
[tex] {a}^{2} + 2a \sqrt{\frac{ {a}^{2}}{4} + {h}^{2}} = S. A. [/tex]
[tex] {3}^{2} + 2(3) \sqrt{ \frac{9}{4} + (10)^{2}} = 9 + 6[(1\frac{1}{2}) + 10] = 9 + 69 = 78 \\ \\ 78 ≈ 69[/tex]
So, what happened here was that whenever you have squares under the radical, you undo the square root, causing the radical to vanish, so with that, you have your answer.
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