Find the Area - Answer Key featuring four shapes with labeled dimensions and area calculations.

Problem: Find the Area of Each Parallelogram

The task is to calculate the area of each parallelogram shown in the image. The formula for the area of a parallelogram is:

\[
\text{Area} = \text{Base} \times \text{Height}
\]

We will use this formula to solve each problem step by step.

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Step-by-Step Solution

#### 1. First Parallelogram
- Given:
- Base = 5 cm
- Height = 2 cm
- Formula:
\[
\text{Area} = \text{Base} \times \text{Height}
\]
- Calculation:
\[
\text{Area} = 5 \, \text{cm} \times 2 \, \text{cm} = 10 \, \text{cm}^2
\]
- Answer:
\[
\boxed{10 \, \text{cm}^2}
\]

#### 2. Second Parallelogram
- Given:
- Base = 10 cm
- Height = 4 cm
- Formula:
\[
\text{Area} = \text{Base} \times \text{Height}
\]
- Calculation:
\[
\text{Area} = 10 \, \text{cm} \times 4 \, \text{cm} = 40 \, \text{cm}^2
\]
- Answer:
\[
\boxed{40 \, \text{cm}^2}
\]

#### 3. Third Parallelogram
- Given:
- Base = 7 cm
- Height = 5 cm
- Formula:
\[
\text{Area} = \text{Base} \times \text{Height}
\]
- Calculation:
\[
\text{Area} = 7 \, \text{cm} \times 5 \, \text{cm} = 35 \, \text{cm}^2
\]
- Answer:
\[
\boxed{35 \, \text{cm}^2}
\]

#### 4. Fourth Parallelogram
- Given:
- Base = 4 cm
- Height = 3 cm
- Formula:
\[
\text{Area} = \text{Base} \times \text{Height}
\]
- Calculation:
\[
\text{Area} = 4 \, \text{cm} \times 3 \, \text{cm} = 12 \, \text{cm}^2
\]
- Answer:
\[
\boxed{12 \, \text{cm}^2}
\]

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Final Answers

1. \( \boxed{10 \, \text{cm}^2} \)
2. \( \boxed{40 \, \text{cm}^2} \)
3. \( \boxed{35 \, \text{cm}^2} \)
4. \( \boxed{12 \, \text{cm}^2} \)

These match the provided answer key, confirming the correctness of the solutions.