Let's denote the length of the shorter part as x.
According to the given information, the shorter part is one quarter of the length of the rod. Since the rod is 200 cm long, the length of the shorter part can be expressed as:
x = (1/4) * 200
x = 50 cm
Now, to express the shorter part as a percentage of the longer part, we need to calculate the ratio of the shorter part (50 cm) to the longer part (200 cm) and multiply it by 100 to convert it into a percentage:
Percentage = (Shorter Part / Longer Part) * 100
= (50 / 200) * 100
= 0.25 * 100
= 25%
Therefore, the shorter part is 25% of the longer part.