Areas of Polygons for 7th Grade

We know that ABCD is a parallelogram. According to the properties of parallelograms, each pair of opposite sides are equal and parallel.

Therefore: $CD=AB=10$

We will calculate the area of the parallelogram using the formula of side multiplied by the height drawn from that side, so the area of the parallelogram is equal to:

$S_{ABCD}=10\times7=70cm^2$

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 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 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'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 .