\( 11 \frac{1}{4} \) inches and an area of \( 50 \frac{5}{8} \) square inches. Find the length of the tray in inches,

To find the length of the tray, we'll assume it's a rectangular shape. The area of a rectangle is given by: \[ \text{Area} = \text{Length} \times \text{Width} \] Given: - **Width** = \( 11 \frac{1}{4} \) inches - **Area** = \( 50 \frac{5}{8} \) square inches **Step 1: Convert Mixed Numbers to Improper Fractions** 1. **Width**: \[ 11 \frac{1}{4} = \frac{11 \times 4 + 1}{4} = \frac{45}{4} \text{ inches} \] 2. **Area**: \[ 50 \frac{5}{8} = \frac{50 \times 8 + 5}{8} = \frac{405}{8} \text{ square inches} \] **Step 2: Solve for Length** Using the formula: \[ \text{Length} = \frac{\text{Area}}{\text{Width}} = \frac{\frac{405}{8}}{\frac{45}{4}} = \frac{405}{8} \times \frac{4}{45} \] **Simplify the Calculation:** \[ \frac{405}{8} \times \frac{4}{45} = \frac{405 \times 4}{8 \times 45} = \frac{1620}{360} = \frac{9}{2} = 4 \frac{1}{2} \text{ inches} \] **Final Answer:** The length of the tray is **\( 4 \frac{1}{2} \) inches**.