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 the radical in the second term:
√12 = √(4*3) = √4 * √3 = 2√3
Now the expression becomes:
5√3 + 3(2√3)
Distribute the 3:
5√3 + 6√3
Combine like terms:
11√3
Since perimeter is the sum of all sides, the final answer is:
11√3 units.