1. **Problem:** Monica's TV screen is 44 inches wide and the diagonal measures 55 inches. Find the area of the TV screen. 2. **Formula:** For a rectangle, the diagonal $d$, width $w$, and height $h$ satisfy the Pythagorean theorem: $$d^2 = w^2 + h^2$$ 3. **Step 1:** Substitute the known values: $$55^2 = 44^2 + h^2$$ 4. **Step 2:** Calculate squares: $$3025 = 1936 + h^2$$ 5. **Step 3:** Solve for $h^2$: $$h^2 = 3025 - 1936 = 1089$$ 6. **Step 4:** Find $h$: $$h = \sqrt{1089} = 33$$ 7. **Step 5:** Calculate the area $A$ of the TV screen: $$A = w \times h = 44 \times 33 = 1452$$ 8. **Answer:** The area of Monica's TV screen is **1452 square inches**. **Final answer: 1452**