Area of a Parallelogram: Applying the formula

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 solve this problem, we'll follow these steps:

• Step 1: Identify the given information
• Step 2: Apply the appropriate formula
• Step 3: Perform the necessary calculations

Now, let's work through each step:
Step 1: The problem provides us with a base ($b$) of 7 units and a height ($h$) of 5 units, perpendicular to this base.
Step 2: We'll apply the formula for the area of a parallelogram, which is $\text{Area} = b \times h$.
Step 3: Substituting the given values, $\text{Area} = 7 \times 5 = 35$.

Therefore, the area of the parallelogram is $35$ square units.

To solve this problem, we'll follow these steps:

• Step 1: Identify the base and height from the information provided.
• Step 2: Apply the formula for the area of a parallelogram.
• Step 3: Calculate the area by multiplying the base and height.

Now, let's work through each step:
Step 1: The base of the parallelogram is given as $8$ units, and the height is given as $5$ units.
Step 2: We use the formula for the area of a parallelogram: $\text{Area} = \text{base} \times \text{height}$.
Step 3: Plugging in the given values, we calculate the area as follows:
$\text{Area} = 8 \times 5 = 40$.

Therefore, the area of the parallelogram is $40$ square units, which corresponds to choice 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.

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 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 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, 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 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 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 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 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.

To solve this problem, we'll proceed as follows:

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

Let's perform each step:

Step 1: From the problem, we know:

• The base $AB$ of the parallelogram is $12 \, \text{cm}$.
• The height relative to the base is $4 \, \text{cm}$.

Step 2: Use the formula for the area of a parallelogram:

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

Step 3: Plugging in the values of the base and height:

$\text{Area} = 12 \times 4 = 48 \, \text{cm}^2$

Therefore, the area of the parallelogram is $48 \, \text{cm}^2$.

Since this is a multiple-choice problem, the correct answer is Choice 2.

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 $136 \, \text{cm}^2$.

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

Step 1: Identify provided values:
- Base $b = 7$ cm
- Height $h = 3.5$ cm

Step 2: Substitute into the area formula:
$\text{Area} = b \times h = 7 \times 3.5$

Step 3: Perform the calculation:
$\text{Area} = 24.5 \, \text{cm}^2$

Therefore, the area of the parallelogram is 24.5 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 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 $24$.