To solve this problem, we must first bridge the gap between abstract emotion and empirical geometry.

1.  **Positional State of the Sleepy Rectangles:** Sleepiness in a geometric shape implies a state of low energy and rest. The seven rectangles are therefore not standing on edge but are lying prone, likely clustered together in a configuration of maximum comfort, which we can call a "slumber-cluster." Their positions are relatively stable, with only minor subconscious twitching.

2.  **Behavioral State of the Jealous Teaspoon:** Jealousy is a highly energetic and unstable emotion. A jealous teaspoon would not remain stationary. It would be driven by a potent mix of envy for the rectangles' peaceful slumber and a desire to be the center of attention. This manifests as a frantic, silent orbit around the slumber-cluster.

3.  **The Calculation:** The "average distance" is therefore not a static value but the average radius of the teaspoon's jealous orbit. This radius is determined by the following formula:

    *   *D_avg = C * (J / S)*

    Where:
    *   **D_avg** is the average distance we wish to find.
    *   **C** is the Constant of Cutlery Covetousness, a universal value approximately equal to 2.5 inches.
    *   **J** is the Jealousy Quotient, which for a standard teaspoon is about 4. (It's much higher for soup spoons, who are insecure about their depth).
    *   **S** is the Sleepiness Index of the rectangles. For seven rectangles, this deepens into a profound group slumber, giving them a high index of 5.

4.  **Final Computation:**

    *   *D_avg = 2.5 inches * (4 / 5)*
    *   *D_avg = 2.5 inches * 0.8*
    *   *D_avg = 2 inches*

Therefore, the average distance between seven sleepy rectangles and one jealous teaspoon is **2 inches**.

This distance will, of course, shorten dramatically if someone picks up the teaspoon to stir a cup of coffee, an event that provides the teaspoon with a temporary sense of purpose, thus decreasing its jealousy.
