Trapezoid Perimeter Problem: Finding Missing Side in 30 cm Total Length

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information
• Step 2: Apply the perimeter formula
• Step 3: Solve for the missing side

Now, let’s work through each step:

Step 1: The problem gives us a trapezoid with a perimeter of 30 cm and known side lengths of 8 cm, 4 cm, and 12 cm.
We let the missing side be $x$ cm.

Step 2: Use the perimeter formula for a trapezoid:

$30 = 8 + 4 + 12 + x$

Step 3: Combine the known side lengths:

$30 = 24 + x$

Solve for $x$:

$x = 30 - 24$ $x = 6$

Therefore, the length of the missing side is 6 cm.