Area of Parallelogram Practice Problems and Solutions

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.

In this particular problem, despite being given certain measurements, the diagram lacks sufficient clarity to identify which corresponds definitively as the base and which as the perpendicular height of the parallelogram. This insufficiency means that without further context or labeling to avoid assumptions that may lead to error, it is not feasible to calculate the area confidently using the standard formula.

Thus, the answer to the problem is that it is not possible to calculate the area with the provided data.

The area of a parallelogram is calculated using the formula $A = \text{base} \times \text{height}$.

From the figure, we identify the base $BC$ as 9 cm and the perpendicular distance (height) from point $E$ to $BC$ as 5 cm.

Substituting into the formula for area, we have:

$A = 9 \, \text{cm} \times 5 \, \text{cm} = 45 \, \text{cm}^2$

Therefore, the area of the parallelogram is $45 \, \text{cm}^2$.

Looking at the provided answer choices, the correct choice is:

$45$ cm².

To calculate the area of the given parallelogram, we'll proceed with the following steps:

• Identify the base and height of the parallelogram.
• Apply the formula for the area of a parallelogram.
• Calculate the area using the provided measurements.

Step 1: Identify the given dimensions:

The base $b$ is given as 3 cm, and the height $h$ is 1.5 cm.

Step 2: Apply the area formula for a parallelogram:

The formula for the area of a parallelogram is $A = b \times h$.

Step 3: Substitute the known values into the formula:

$A = 3 \times 1.5$.

Step 4: Perform the multiplication:

$A = 4.5$ square centimeters.

Thus, the area of the parallelogram is $4.5$ square centimeters.

To calculate the area of the parallelogram, we'll use the formula for the area, which is the product of the base and the height.

• Identify the base and height from the information given: The base $AB$ is 25 cm and the height is 13 cm.
• Apply the formula for the area: $\text{Area} = \text{Base} \times \text{Height}$.
• Substitute the given values into the formula: $\text{Area} = 25 \times 13$.
• Perform the multiplication: $\text{Area} = 325$ square centimeters.

Therefore, the area of the parallelogram is $325 \, \text{cm}^2$.

This corresponds to choice 1: 325.