Calculate Trapezoid Perimeter: Finding Missing Side 30% Longer Than 10 Units

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

• Step 1: Identify the given side and calculate 30% longer than this side.

• Step 2: Calculate the length of the missing side.

• Step 3: Sum up all the sides to determine the perimeter.

Now, let's work through each step:
Step 1: Given side whose 30% is to be added is 10.
Step 2: Calculate 30% of 10:
$\text{30\% of 10} = 0.30 \times 10 = 3$
Add this to the given side to get the missing side:
$\text{Length of missing side} = 10 + 3 = 13$

Step 3: The trapezoid now has the following sides: 8, 10, 15, and 13.
Calculate the perimeter by adding the sides:
$\text{Perimeter} = 8 + 10 + 15 + 13 = 46$

Therefore, the perimeter of the trapezoid is $46$.