Answer:
12a^3
Step-by-step explanation:
The two given leg lengths 3a^3 and 4a^3 can be written as a^3(3 and 4). Recognize that this right triangle is also a 3-4-5 triangle, since 3^2 + 4^2 = 5^2. Thus, the three sides are a^3{3, 4, 5].
Summing these up, we get the perimeter a^3(3 + 4 + 5), or 12a^3
This last result, 12a^3, is the desired perimeter of this right triangle.
