The length of a rope is `23.25` m. If two piece s of lengths `6.42` m and `3.09` m are cut, then find the length of the remaining rope.

Options

A. `12.74`
B. `13.64`
C. `13.74`
D. `14.54`

Explanation

To find the length of the remaining rope after cutting two pieces from it, we can follow these steps:

### Step 1: Identify the total length of the rope and the lengths of the pieces to be cut.
- Total length of the rope = 23.25 m
- Length of the first piece = 6.42 m
- Length of the second piece = 3.09 m

### Step 2: Add the lengths of the two pieces that are cut.
To find the total length of the pieces that are cut, we need to add the lengths of the two pieces:
\[ \text{Total length cut} = 6.42 \, \text{m} + 3.09 \, \text{m} \]

### Step 3: Perform the addition.
Now, let's perform the addition:
\[ 6.42 + 3.09 = 9.51 \, \text{m} \]

### Step 4: Subtract the total length cut from the original length of the rope.
To find the remaining length of the rope, we subtract the total length cut from the original length:
\[ \text{Remaining length} = 23.25 \, \text{m} - 9.51 \, \text{m} \]

### Step 5: Perform the subtraction.
Now, let's perform the subtraction:
\[ 23.25 - 9.51 = 13.74 \, \text{m} \]

### Conclusion:
The length of the remaining rope is **13.74 m**.

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