To complete this task, let’s proceed step-by-step:

1. Copying Parallelograms: Draw the given parallelograms on centimeter-squared paper, labeling them as $A$ and $B$.

2. Finding the Area:

   • To find the area, count the number of full squares inside each parallelogram. For partial squares, you can approximate or split them into halves or quarters to get an accurate count.

3. Recording Measurements:

   • Measure the base length and perpendicular height for each parallelogram.
   • Use these values to calculate the area as well, which is given by the formula: $\text{Area of parallelogram} = \text{base length} \times \text{perpendicular height}$
   • Fill in these measurements in the provided table.

4. Observing Relationships:

   • Notice the relationship between the base length, height, and area. For any parallelogram, the area is always the product of the base length and the perpendicular height.

5. Completing the Formula:

   • From this observation, the formula for the area of a parallelogram can be written as: $\text{Area of a parallelogram} = \text{base length} \times \text{perpendicular height}$

Would you like me to walk you through the calculations of base length, height, and area based on the measurements of each parallelogram? Here are some related questions you might explore further:

1. How do you distinguish between base length and height in a parallelogram?
2. Why do partial squares need to be accounted for in the area calculation?
3. What happens to the area if the base length is doubled?
4. How would you find the area if the parallelogram was tilted or rotated?
5. Could you use this method to find the area of irregular shapes by counting squares?

Tip: To accurately measure the height in a parallelogram, ensure it is perpendicular to the base, forming a 90-degree angle with it.