It seems that the text extraction process did not capture the content effectively. I'll analyze the image manually to provide a solution for the trapezoid problem.

Based on the image, the task involves finding the perimeter and area of a trapezoid. Here's how to approach it:

Given:

• The trapezoid has the following dimensions:
  • Top base: 12.79 units
  • Bottom base: 30.15 units
  • Left slant side: 20.63 units
  • Right slant side: 21.87 units
  • Height: 14.90 units

1. Perimeter Calculation:

The perimeter $P$ of a trapezoid is the sum of the lengths of all four sides: $P = \text{top base} + \text{bottom base} + \text{left slant side} + \text{right slant side}$ Substituting the given values: $P = 12.79 + 30.15 + 20.63 + 21.87 = 85.44 \text{ units}$

2. Area Calculation:

The area $A$ of a trapezoid is given by the formula: $A = \frac{1}{2} \times (\text{top base} + \text{bottom base}) \times \text{height}$ Substituting the given values: $A = \frac{1}{2} \times (12.79 + 30.15) \times 14.90$ $A = \frac{1}{2} \times 42.94 \times 14.90$ $A = 319.81 \text{ square units}$

Thus, the perimeter is approximately 85.44 units, and the area is approximately 319.81 square units.

Would you like further details or a more in-depth explanation of any part? Here are some related questions:

1. How do we calculate the height of a trapezoid if it's not given?
2. Can the slant heights be used directly in area calculation?
3. How does the formula for the area of a trapezoid differ from that of a triangle?
4. Why is the sum of the bases important in finding the area?
5. What is the significance of rounding to hundredths?

Tip: Always check that all sides are in the same units before calculating the perimeter or area.