Find the perimeter of the figure below. Show all work for each step. Work should include explanations in words detailing how you simplify each specific radical. Take your time and be thorough. Include units in final answer.
5√3
3√12
First, simplify 3√12:
3√12 = 3√(4*3) = 3*2√3 = 6√3
Now we need to find the perimeter of the figure, which is the sum of all the sides. Looking at the diagram, we can see that there are four sides, each with a length of 5√3.
Perimeter = 4(5√3)
Perimeter = 20√3
The final answer is 20√3 units.