Area of a 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 $28 \, \text{cm}^2$.