Parallelogram - Examples, Exercises and Solutions

To calculate the area of the parallelogram, we will simply apply the formula for the area of a parallelogram:

• Identify the base: The length of the base is $10 \, \text{cm}$.
• Identify the height: The perpendicular height is given as $6 \, \text{cm}$.

Apply the formula: $\text{Area} = \text{base} \times \text{height}$.

Substitute the known values: $\text{Area} = 10 \, \text{cm} \times 6 \, \text{cm}$.

Calculate the result: $\text{Area} = 60 \, \text{cm}^2$.

Therefore, the area of the parallelogram is $60 \, \text{cm}^2$.

To solve the exercise, we need to remember the formula for the area of a parallelogram:

Side * Height perpendicular to the side

In the diagram, although it's not presented in the way we're familiar with, we are given the two essential pieces of information:

Side = 6

Height = 5

Let's now substitute these values into the formula and calculate to get the answer:

6 * 5 = 30

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

• The given base $DC$ is 6 cm.
• The perpendicular height $AH$ from point $A$ to base $DC$ is 3 cm.

The formula for the area of a parallelogram is:

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

Substituting the given values, we have:

$\text{Area} = 6 \times 3$

Thus, the area of parallelogram $ABCD$ is:

$\text{Area} = 18 \, \text{cm}^2$

Therefore, the solution to the problem is $18 \, \text{cm}^2$.

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

• Step 1: Identify the base and height.
  Here, the base $AB$ is $7 \, \text{cm}$ and the perpendicular height $AH$ is $2 \, \text{cm}$.
• Step 2: Use the area formula for a parallelogram:
  $\text{Area} = \text{base} \times \text{height}$
• Step 3: Substitute the given values into the formula:
  $\text{Area} = 7 \times 2 = 14 \, \text{cm}^2$

Therefore, the area of the parallelogram is $\textbf{14 cm}^2$.

To find the area of the parallelogram, we will use the formula:

From the problem, we identify the base as $7 \, \text{cm}$ and the height as $4 \, \text{cm}$. Substituting these values into the formula, we get:

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

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 $\mathbf{99 \, \text{cm}^2}$.

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 $\mathbf{78 \, \text{cm}^2}$.

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 solve this problem, we'll follow these steps:

• Step 1: Identify the given base and height.
• Step 2: Apply the formula for the area of a parallelogram.
• Step 3: Calculate the area using the provided dimensions.

Now, let's work through each step:
Step 1: The base $b$ is equal to the length $AB$, which is $\text{15 cm}$. The height $h$ corresponding to this base is $\text{6 cm}$.
Step 2: We'll use the formula for the area of a parallelogram:
$\text{Area} = b \times h$.
Step 3: Plugging in our values, we have:
$\text{Area} = 15 \times 6 = 90 \, \text{cm}^2$.

Therefore, the solution to the problem is $\text{Area} = 90 \, \text{cm}^2$, which matches choice .

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

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

Let's proceed with the solution:
Step 1: The given base $AB$ is 10 cm, and the height is 5 cm.
Step 2: The formula for the area of a parallelogram is $A = \text{base} \times \text{height}$.
Step 3: Substituting the provided values, we get:
$A = 10 \, \text{cm} \times 5 \, \text{cm}$
$A = 50 \, \text{cm}^2$

Therefore, the area of the parallelogram is $50 \, \text{cm}^2$.

To calculate the area of the parallelogram, we'll use the standard area formula for a parallelogram:

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

From the problem, the base $AB = 32 \, \text{cm}$ and the height is $15 \, \text{cm}$.

Substituting these values into the formula gives:

$\text{Area} = 32 \times 15$

Perform the multiplication:

$32 \times 15 = 480$

Thus, the area of the parallelogram is $\text{480 cm}^2$.

The correct answer is choice 4: 480.

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 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.

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.