To calculate the perimeter of the trapezoid, we need to determine the lengths of all four sides. Here’s a step-by-step method:

1. Top Base: It is given that the top base is 8 units.

2. Bottom Base: It is given that the bottom base is 14 units.

3. Height: The height of the trapezoid is 8 units.

4. Slant Sides (legs): To find the lengths of the slant sides (legs) of the trapezoid, we assume the trapezoid is an isosceles trapezoid (though it isn't explicitly stated, this is a common case). Each leg will form the hypotenuse of a right triangle, where:

   • One leg is the height (8 units).
   • The other leg is half the difference between the lengths of the two bases: $\frac{14 - 8}{2} = 3 \, \text{units}.$

   Using the Pythagorean theorem to calculate the slant side: $\text{Leg} = \sqrt{8^2 + 3^2} = \sqrt{64 + 9} = \sqrt{73} \approx 8.54 \, \text{units}.$

5. Perimeter: Now, add the lengths of all four sides: $\text{Perimeter} = 14 + 8 + 8.54 + 8.54 = 39.08 \, \text{units}.$

Thus, the perimeter of the trapezoid is approximately 39.08 units.

Would you like more details or have any questions?

Here are five related questions to explore further:

1. How does the Pythagorean theorem help in finding the legs of an isosceles trapezoid?
2. What is the area of the trapezoid with the given dimensions?
3. How would the perimeter change if the trapezoid were not isosceles?
4. What are the properties of a trapezoid that differentiate it from other quadrilaterals?
5. How can you find the length of slant sides in a right trapezoid?

Tip: Always verify whether a trapezoid is isosceles or not when solving for unknown side lengths, as the method for calculating the slant sides differs.