Area of a Parallelogram: Using external height

To solve this problem, we'll use the formula for the area of a parallelogram:

$\text{Area} = \text{Base} \times \text{Height}$

Here, the base $DC$ is given as 7 cm, and the height $BE$ is given as 4 cm.

Now, substituting the known values into the formula, we get:

$\text{Area} = 7 \, \text{cm} \times 4 \, \text{cm} = 28 \, \text{cm}^2$

Thus, the area of the parallelogram is $\boxed{28 \, \text{cm}^2}$.

To solve this problem, we proceed with the following steps:

• Step 1: Identify the base of the parallelogram as $AD = 3 \, \text{cm}$.
• Step 2: Identify the external height as $BE = 6 \, \text{cm}$.
• Step 3: Use the area formula for the parallelogram: $\text{Area} = \text{Base} \times \text{Height}$
• Step 4: Substitute the given measurements into the formula: $\text{Area} = 3 \, \text{cm} \times 6 \, \text{cm}$
• Step 5: Compute the area: $\text{Area} = 18 \, \text{cm}^2$

Therefore, the area of the parallelogram is $18 \, \text{cm}^2$, which matches the given answer choice.

The correct answer is choice 2: 18 cm².

To solve for the area of the parallelogram, consider the following details:

• Step 1: Identify the base and height of the parallelogram. Here, the side that is used as the base is BD, which has an external perpendicular line, CF, indicating the height.
• Step 2: Given that $CF = 12$ (the height), and the base $BD = 10$, you can calculate the area using the formula $\text{Area} = \text{base} \times \text{height}$.

Given these values, the area calculation is as follows:
Step 2: The base $BD$ is 10, and the height $CF$ is 12. Thus:
$\text{Area} = 10 \times 12 = 120$.

Therefore, the area of the parallelogram is $120$.

To solve this problem, we need to calculate the height of parallelogram ABCD using the area formula for parallelograms:

• Step 1: Recall the formula $\text{Area} = \text{base} \times \text{height}$.
• Step 2: Substitute the known values into the formula: $60 = 8 \times \text{height}$.
• Step 3: Rearrange the formula to solve for height: $\text{height} = \frac{60}{8}$.
• Step 4: Perform the division to find the height: $\text{height} = 7.5$ cm.

Therefore, the height of parallelogram ABCD is $7.5$ cm.