Area of Parallelogram Practice Problems and Solutions

To solve this problem, let's apply the formula for the area of a parallelogram:

The formula for the area of a parallelogram is $\text{Area} = \text{base} \times \text{height}$.

Here, the base of the parallelogram is 6 cm, and the height is 4.5 cm.

Substituting these values into the formula gives:

$\text{Area} = 6 \times 4.5$

Performing the multiplication:

$\text{Area} = 27$ square centimeters.

Therefore, the area of the parallelogram is $27 \, \text{cm}^2$.

Referring to the given multiple-choice answers, the correct choice is:

Choice 3: $27$.

To find the area of the parallelogram, we will follow these steps:

• Identify the base and the corresponding height.
• Use the formula for the area of a parallelogram.
• Perform the calculation to find the area.

Let's execute these steps:

Step 1: Identify the given measurements. The base $AB = 5 \, \text{cm}$, and the height corresponding to it is $2 \, \text{cm}$.

Step 2: Apply the formula for the area of a parallelogram, which is $A = b \times h$.

Step 3: Substitute the known values into the formula:
$A = 5 \, \text{cm} \times 2 \, \text{cm} = 10 \, \text{cm}^2$

Therefore, the area of the parallelogram is $10 \, \text{cm}^2$.

To solve this problem, we'll calculate the area of the parallelogram using the following steps:

• Step 1: Identify the base and the height from the given information.
• Step 2: Use the formula for the area of a parallelogram: $\text{Area} = \text{base} \times \text{height}$.
• Step 3: Substitute the values and compute the area.

Now, let's perform these steps:

Step 1: The base $AB$ is given as 6 cm, and the height perpendicular to this base is 2 cm.

Step 2: Using the formula for the area of a parallelogram, we have:

$\text{Area} = \text{base} \times \text{height}$

Step 3: Substituting the given values:

$\text{Area} = 6 \, \text{cm} \times 2 \, \text{cm} = 12 \, \text{cm}^2$

Thus, the area of the parallelogram is 12 square centimeters.

The correct answer is choice 1: 12.

To solve this problem, we will calculate the area of the parallelogram using the given base and height dimensions.

• Step 1: Identify the given parameters. The base of the parallelogram $AB = 17 \, \text{cm}$ and the corresponding height is $8 \, \text{cm}$.
• Step 2: Apply the area formula for parallelograms: $\text{Area} = \text{base} \times \text{height}$.
• Step 3: Substitute the given values into the formula: $\text{Area} = 17 \times 8$.

Calculating the product, we have:
$\text{Area} = 136 \, \text{cm}^2$.

Therefore, the area of the parallelogram is $136 \, \text{cm}^2$.

From the given constraints, it is impossible to confidently compute the area of the parallelogram because of insufficient and unclear relationships between provided figures and the calculations they must produce. Clarity on which numbers correspond to the height and base—as or any definitional angles—is absent.

The correct answer, aligning with acknowledged drawing limitations, is: It is not possible to calculate.