Parallelogram Practice Problems & Exercises with 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.

To find the area of the given parallelogram, we will use the standard formula for the area of a parallelogram, which is the product of its base and height.

• Step 1: Identify the given dimensions.
• Step 2: Base of the parallelogram is given as $13$ cm.
• Step 3: Height is given as $6$ cm.

Now, let's proceed with the calculation:

Using the formula for the area of a parallelogram:

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

Substituting the known values:

$\text{Area} = 13 \, \text{cm} \times 6 \, \text{cm}$

$\text{Area} = 78 \, \text{cm}^2$

Hence, the area of the parallelogram is $\mathbf{78 \, \text{cm}^2}$.

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

• Step 1: Identify the given dimensions.
  We have a base $b = 8$ and a height $h = 3$.
• Step 2: Apply the area formula for a parallelogram.
  The area $A$ is given by the formula $A = b \times h$.
• Step 3: Perform the calculation.
  Substitute the known values into the formula to get $A = 8 \times 3 = 24$.

Therefore, the area of the parallelogram is $24$.

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

• Step 1: Identify the base and height from the given diagram.
• Step 2: Apply the area formula for the parallelogram.
• Step 3: Calculate the area using the identified base and height.

Let's execute these steps:

Step 1: In parallelogram ABCD, the length of side CD is given as 11 cm. Since angle AEC is a right angle, AE, which measures 9 cm, serves as the height of the parallelogram.

Step 2: Use the formula for the area of a parallelogram:
$\text{Area} = \text{base} \times \text{height}$

Step 3: Substitute the values into the formula:
$\text{Area} = 11 \, \text{cm} \times 9 \, \text{cm} = 99 \, \text{cm}^2$

Thus, the area of the parallelogram ABCD is $\mathbf{99 \, \text{cm}^2}$.