Calculate the Perimeter of a Trapezoid: Explore a Geometric Outline

To solve this problem, we'll apply the straightforward approach of summing up the lengths of all four sides of the trapezoid to determine its perimeter:

• Step 1: Identify the side lengths: the top base is $6$, the bottom base is $14.52$, the left side is $4.1$, and the right side is $9.87$.
• Step 2: Apply the perimeter formula for the trapezoid: $P = a + b + c + d$, where $a = 6$, $b = 14.52$, $c = 4.1$, and $d = 9.87$.
• Step 3: Add the side lengths: $P = 6 + 14.52 + 4.1 + 9.87$.

Now, performing the calculation:

Therefore, the perimeter of the trapezoid is $34.49$.