1. **State the problem:** We need to find the value of the blank rectangle in the equation $$\frac{2}{5} + \frac{2}{5} + \frac{2}{5} + \frac{2}{5} = \text{[blank rectangle]} \times \frac{1}{5}$$. 2. **Add the fractions on the left side:** Since all fractions have the same denominator, add the numerators: $$\frac{2}{5} + \frac{2}{5} + \frac{2}{5} + \frac{2}{5} = \frac{2+2+2+2}{5} = \frac{8}{5}$$ 3. **Rewrite the equation:** $$\frac{8}{5} = \text{[blank rectangle]} \times \frac{1}{5}$$ 4. **Solve for the blank rectangle:** Divide both sides by $\frac{1}{5}$ to isolate the blank rectangle: $$\text{[blank rectangle]} = \frac{\frac{8}{5}}{\frac{1}{5}}$$ 5. **Simplify the division of fractions:** $$\text{[blank rectangle]} = \frac{8}{5} \times \frac{5}{1}$$ 6. **Cancel common factors:** $$\text{[blank rectangle]} = \cancel{\frac{8}{\mathbf{5}}} \times \cancel{\frac{\mathbf{5}}{1}} = 8$$ 7. **Final answer:** $$\boxed{8}$$ The blank rectangle equals 8.