The area of a rectangle is 10 sq. cm. Express the area in terms of sq. m

Answer

To convert the area of a rectangle from square centimeters to square meters, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Conversion Factor**:
We know that 1 meter = 100 centimeters. Therefore, to convert square meters to square centimeters, we square the conversion factor:
\[ 1 \text{ square meter} = (100 \text{ cm})^2 = 10000 \text{ square centimeters} \]

2. **Set Up the Conversion**:
We need to convert 10 square centimeters to square meters. We can use the conversion factor we just established:
\[ 1 \text{ square centimeter} = \frac{1}{10000} \text{ square meters} \]

3. **Calculate the Area in Square Meters**:
Now, we multiply the area in square centimeters by the conversion factor:
\[ 10 \text{ square centimeters} = 10 \times \frac{1}{10000} \text{ square meters} \]

4. **Perform the Calculation**:
Simplifying the multiplication:
\[ 10 \times \frac{1}{10000} = \frac{10}{10000} = \frac{1}{1000} \text{ square meters} \]

5. **Convert to Decimal**:
To express \(\frac{1}{1000}\) in decimal form:
\[ \frac{1}{1000} = 0.001 \text{ square meters} \]

### Final Answer:
The area of the rectangle in square meters is \(0.001 \text{ sq. m}\).

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