To find the total length of wood required for the rungs of the ladder, we first need to determine the number of rungs and the average length of the rungs.
Step 1: Calculate the Number of Rungs
The distance between the top and bottom rungs is 2.5 meters, which is equal to 250 cm. Since the rungs are 25 cm apart, we can find the number of rungs:
- Height of the ladder: 250 cm
- Distance between rungs: 25 cm
- Number of rungs = Height / Distance = 250 cm / 25 cm = 10 rungs
Step 2: Determine the Length of Each Run
The lengths of the rungs decrease uniformly from 45 cm at the bottom to 25 cm at the top. To find the average length of the rungs:
- Bottom rung length: 45 cm
- Top rung length: 25 cm
- Average length = (Bottom length + Top length) / 2 = (45 cm + 25 cm) / 2 = 35 cm
Step 3: Calculate Total Length of Wood
Now, we can find the total length of wood required for all the rungs:
- Total length = Number of rungs × Average length = 10 rungs × 35 cm = 350 cm
Final Answer
The total length of wood required for the rungs is 350 cm. Since this value is not listed in the options provided (280 cm, 320 cm, 250 cm, 385 cm), it appears there may be a misunderstanding in the question or options.
