Mathinenglish.com: AREA OF PARALLELOGRAM - CubeForTeachers - Cube ... - Free Printable

To solve the problem of finding the area of each parallelogram, we will use the formula for the area of a parallelogram:

\[
\text{Area} = \text{base} \times \text{height}
\]

Step-by-Step Solution:

#### Parallelogram 1:
- Base: 6 cm
- Height: 6 cm

Using the formula:
\[
\text{Area} = \text{base} \times \text{height} = 6 \, \text{cm} \times 6 \, \text{cm} = 36 \, \text{cm}^2
\]

#### Parallelogram 2:
- Base: 6 cm
- Height: 5 cm

Using the formula:
\[
\text{Area} = \text{base} \times \text{height} = 6 \, \text{cm} \times 5 \, \text{cm} = 30 \, \text{cm}^2
\]

#### Parallelogram 3:
- Base: 4 cm
- Height: 2.5 cm

Using the formula:
\[
\text{Area} = \text{base} \times \text{height} = 4 \, \text{cm} \times 2.5 \, \text{cm} = 10 \, \text{cm}^2
\]

Final Answers:

\[
\boxed{36 \, \text{cm}^2, 30 \, \text{cm}^2, 10 \, \text{cm}^2}
\]

Explanation:

1. Identify the Base and Height: For each parallelogram, the base is the length of one side, and the height is the perpendicular distance from the base to the opposite side.
2. Apply the Formula: Multiply the base by the height to find the area.
3. Units: Ensure that the units are consistent (in this case, centimeters), and the final answer is in square centimeters (\(\text{cm}^2\)).

This method ensures accurate calculation of the area for each parallelogram.