From a thread of length 2.824 m, two pieces each of length 45 cm are cut out. What is the measure of the remaining rope?

Options

A. 192.4 m
B. 1924 cm
C. 1.924 m
D. 19400 mm

Answer

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

### Step 1: Convert the Length of the Rope from Meters to Centimeters
The original length of the rope is given as 2.824 meters. To convert this to centimeters, we multiply by 100 (since 1 meter = 100 centimeters).

\[ \text{Length in cm} = 2.824 \, \text{m} \times 100 = 282.4 \, \text{cm} \]

### Step 2: Calculate the Total Length of the Pieces Cut
We need to cut two pieces from the rope, each of length 45 cm. Therefore, we calculate the total length of the pieces cut.

\[ \text{Total length cut} = 45 \, \text{cm} + 45 \, \text{cm} = 90 \, \text{cm} \]

### Step 3: Calculate the Remaining Length of the Rope
Now, we subtract the total length of the pieces cut from the original length of the rope.

\[ \text{Remaining length} = \text{Original length} - \text{Total length cut} \]
\[ \text{Remaining length} = 282.4 \, \text{cm} - 90 \, \text{cm} = 192.4 \, \text{cm} \]

### Step 4: Convert the Remaining Length Back to Meters
Finally, we convert the remaining length back to meters by dividing by 100.

\[ \text{Remaining length in m} = \frac{192.4 \, \text{cm}}{100} = 1.924 \, \text{m} \]

### Final Answer
The measure of the remaining rope is **1.924 meters**.

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