Parallelogram Area Calculation: Using Perpendicular Heights 3.5 and 7

To solve this problem, we'll determine the area of the parallelogram using both given heights and their corresponding bases to verify consistency.

The area of a parallelogram can be calculated using the formula:

$\text{Area} = \text{Base} \times \text{Height}$

First, we calculate the area using $DC$ as the base and $AE$ as the height:

• $\text{Base} = DC = 8 \, \text{cm}$
• $\text{Height} = AE = 3.5 \, \text{cm}$

$\text{Area} = 8 \times 3.5 = 28 \, \text{cm}^2$

Second, we verify the area using $AD$ as the base and $CF$ as the height:

• $\text{Base} = AD = 4 \, \text{cm}$
• $\text{Height} = CF = 7 \, \text{cm}$

$\text{Area} = 4 \times 7 = 28 \, \text{cm}^2$

Since both calculations result in the same area, the solution is consistent.

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