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To find the area of a square, the formula is:

\[
\text{Area} = \text{side length}^2
\]

Let’s calculate the area for each case:

1. **a. \( \frac{1}{5} \, \text{cm} \):**
   \[
   \text{Area} = \left( \frac{1}{5} \right)^2 = \frac{1}{25} \, \text{cm}^2
   \]

2. **b. \( \frac{3}{7} \, \text{units} \):**
   \[
   \text{Area} = \left( \frac{3}{7} \right)^2 = \frac{9}{49} \, \text{square units}
   \]

3. **c. \( \frac{11}{8} \, \text{inches} \):**
   \[
   \text{Area} = \left( \frac{11}{8} \right)^2 = \frac{121}{64} \, \text{square inches}
   \]

4. **d. \( 0.1 \, \text{meters} \):**
   \[
   \text{Area} = (0.1)^2 = 0.01 \, \text{square meters}
   \]

5. **e. \( 3.5 \, \text{cm} \):**
   \[
   \text{Area} = (3.5)^2 = 12.25 \, \text{cm}^2
   \]

Would you like any further explanations or details on any of these calculations?

Here are 5 related questions for further exploration:
1. What is the difference between area and perimeter for a square?
2. How do you convert square centimeters to square meters?
3. If a square’s side length doubles, how does its area change?
4. How would you calculate the area of a rectangle if you were given its length and width?
5. What are the units for area in the International System of Units (SI)?

**Tip:** Always ensure the units of measurement are consistent when calculating area, especially when working with different units (like meters vs centimeters).

Find the area of a square if its side length is: a. 1/5 cm, b. 3/7 units, c. 11/8 inches, d. 0.1 meters, e. 3.5 cm.

Learn how to calculate the area of a square given different side lengths in various units (cm, units, inches, meters). This step-by-step guide covers geometry concepts suitable for Grades 6-8.

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