1. **State the problem:** We have a rectangle with a length of 6 yards and an unknown width $x$ yards. The rectangle contains 10 flower-like shapes arranged in three rows. 2. **Identify what is asked:** We need to find the value of $x$ in yards. 3. **Analyze the information:** The rectangle's area can be calculated by multiplying its length and width: $$\text{Area} = \text{length} \times \text{width} = 6 \times x$$ 4. **Use the number of flower-like shapes:** Since there are 10 flower-like shapes arranged in 3 rows, the total number of flowers is 10, which suggests the area or the number of units inside the rectangle is 10. 5. **Set up the equation:** Assuming each flower represents one unit area, the area of the rectangle is 10 square yards. So, $$6 \times x = 10$$ 6. **Solve for $x$:** $$x = \frac{10}{6}$$ 7. **Simplify the fraction:** $$x = \frac{\cancel{10}}{\cancel{6}} = \frac{5}{3}$$ 8. **Final answer:** $$x = \frac{5}{3} \text{ yards} \approx 1.67 \text{ yards}$$ This means the width $x$ of the rectangle is approximately 1.67 yards.