The actual width of a store room is 280 cm. If the scale chosen to make its drawing is 1:7, then the width of the room in the drawing will be ______.

Answer

To find the width of the storeroom in the drawing based on the given scale, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Information**:
- Actual width of the storeroom = 280 cm
- Scale of the drawing = 1:7

2. **Understand the Scale**:
- The scale 1:7 means that 1 unit in the drawing represents 7 units in reality.
- We can express this as a formula:
\[ \text{Scale} = \frac{\text{Size of Drawing}}{\text{Actual Length}} \]

3. **Set Up the Equation**:
- From the scale, we can write:
\[ \frac{\text{Size of Drawing}}{280} = \frac{1}{7} \]

4. **Cross Multiply**:
- Cross multiplying gives us:
\[ 7 \times \text{Size of Drawing} = 280 \]

5. **Solve for Size of Drawing**:
- To find the Size of Drawing, divide both sides by 7:
\[ \text{Size of Drawing} = \frac{280}{7} \]

6. **Calculate the Result**:
- Now, perform the division:
\[ \text{Size of Drawing} = 40 \text{ cm} \]

### Final Answer:
The width of the room in the drawing will be **40 cm**.

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