This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Hey Joseph, good to see you again. Let's find the perimeter of each shape.
The perimeter of a shape is the total distance around its outer boundary. For these composite shapes, we need to identify all the outer side lengths and sum them up.
Shape (1): This is an L-shaped polygon. Step 1: Identify the known side lengths. The known sides are , , , and . Step 2: Calculate the unknown side lengths. Let the missing horizontal segment be and the missing vertical segment be . The total length of the top horizontal side is $36\
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Hey Joseph, good to see you again. Let's find the perimeter of each shape.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.