Final answer:
After calculating the total area of the parallelogram, dividing by three gives the area of each part to be 16 square centimeters. This corresponds to option d.
Step-by-step explanation:
The question asks to find the area of each part when a parallelogram with a side of 8 cm and a corresponding height of 6 cm is divided into three equal parts. First, to find the total area of the parallelogram, we use the formula for the area of a parallelogram, which is base times height (A = base × height). Therefore, the total area is 8 cm × 6 cm, which equals 48 square centimeters. To find the area of each part after dividing the parallelogram into three equal parts, we divide the total area by three: 48 cm2 ÷ 3 = 16 cm2. So, the area of each part is 16 square centimeters, which corresponds to option d.
To find the area of each part, we need to first find the total area of the parallelogram. The formula for the area of a parallelogram is base times height. In this case, the base is the length of one of the sides, which is 8 cm, and the height is given as 6 cm. So, the total area of the parallelogram is 8 cm times 6 cm, which is 48 square cm.
Since the parallelogram is divided into three equal parts, each part will have an area of one-third of the total area. So, the area of each part is 48 square cm divided by 3, which is 16 square cm.
Therefore, the correct answer is option d. 16 sq. cm.