Final answer:
The height of a parallelogram with an area of 81 cm² and a base of 22.5 cm is found using the formula for the area of a parallelogram. By rearranging the formula, the height is calculated to be 3.6 cm.
Step-by-step explanation:
To find the height of a parallelogram when you know the area and the base, you use the formula for the area of a parallelogram, which is Area = base × height. Given an area of 81 cm² and a base of 22.5 cm, you can rearrange the formula to solve for the height:
Height = Area ÷ Base
So, we calculate the height as follows:
Height = 81 cm² ÷ 22.5 cm
Height = 3.6 cm
Therefore, the correct answer is (a) 3.6 cm