If a line segment measuring 28.254 cm is divided into three equal parts, then the sum of the measure of the two parts is ____________.

Options

A. 14.112 cm
B. 15.646cm
C. 19.264 cm
D. 18.836 cm

Answer

To solve the problem, we need to follow these steps:

### Step 1: Divide the total length by 3
The total length of the line segment is 28.254 cm. We need to divide this length into 3 equal parts.

\[ \text{Length of one part} = \frac{28.254 \text{ cm}}{3} \]

### Step 2: Perform the division
Now, we will calculate the division.

\[ \text{Length of one part} = 28.254 \div 3 = 9.418 \text{ cm} \]

### Step 3: Calculate the sum of two parts
Since we need the sum of the lengths of two parts, we will multiply the length of one part by 2.

\[ \text{Sum of two parts} = 2 \times 9.418 \text{ cm} \]

### Step 4: Perform the multiplication
Now, we will calculate the multiplication.

\[ \text{Sum of two parts} = 2 \times 9.418 = 18.836 \text{ cm} \]

### Final Answer
The sum of the measure of the two parts is **18.836 cm**.

---