Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a^4 and 16a^4.

Step-by-step explanation:

 In this case we know that the  legs of the given right triangle have these lenghts:

and

By definition, the sides of a right triangle are in the ratio

Since:

We can multiply the lenght   by 1.25 in order to find the lenght of the hypotenuse of the right triangle:

Since the perimeter of a triangle is the sum of the lenghts of its sides, we can write the following expression for the perimeter of the given right triangle:

Simplifying, we get:

your answer would be 12