To find the area of a parallelogram, you can use the formula:
\[ \text{Area} = \text{Base} \times \text{Height} \]
In the case of a parallelogram with sides measuring 5 cm, 5 cm, and 8 cm, we can assume that the base is 8 cm. However, we need the height, which is not provided directly by the side lengths alone.
For a parallelogram with two equal lengths (5 cm, 5 cm) forming the sides and 8 cm as the base, we can calculate the height using the relationship of base and side lengths using the sine of the angle between the height and the base. Assuming the angle between the sides is 90 degrees (making it a rectangle), the height would also be 5 cm.
Thus, we can calculate the area (assuming it's a rectangle):
\[ \text{Area} = \text{Base} \times \text{Height} = 8 , \text{cm} \times 5 , \text{cm} = 40 , \text{cm}^2 \]
If the parallelogram is not a rectangle, additional information (like angles) would be needed to determine the exact height using trigonometry.
Based on the assumption that the height is 5 cm, the area is:
\[ \text{Area} = 40 , \text{cm}^2 \]
Final Answer: \[ A = 40 , \text{cm}² \]