A rope is cut in 36 parts of each 8 m. If length of each part is increased by 4 m, how many parts will be formed ?

Options

A. 24
B. 72
C. 18
D. 20

Answer

To solve the problem step by step, follow these instructions:

### Step 1: Calculate the total length of the rope.
The rope is cut into 36 parts, each measuring 8 meters.

\[ \text{Total length of rope} = \text{Number of parts} \times \text{Length of each part} \]
\[ \text{Total length of rope} = 36 \times 8 = 288 \text{ meters} \]

### Step 2: Determine the new length of each part after the increase.
The length of each part is increased by 4 meters.

\[ \text{New length of each part} = \text{Original length} + \text{Increase} \]
\[ \text{New length of each part} = 8 + 4 = 12 \text{ meters} \]

### Step 3: Calculate how many new parts can be formed with the total length of the rope.
Now that we know the total length of the rope is 288 meters and each new part is 12 meters long, we can find out how many parts can be formed.

\[ \text{Number of new parts} = \frac{\text{Total length of rope}}{\text{New length of each part}} \]
\[ \text{Number of new parts} = \frac{288}{12} = 24 \]

### Final Answer:
The number of parts that will be formed is **24**.

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