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

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UpStudy AI · Accepted Answer

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**.
The length of the tray is $$ 4 \frac{1}{2} $$ inches.

inches and an area of square inches. Find the length of the tray in inches,

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