1. **State the problem:** Christine needs to stain a rectangular court floor with length 46 feet and width 35 feet. Each can of stain covers 115 square feet. We need to find how many cans she will need.
2. **Formula for area of a rectangle:**
$$\text{Area} = \text{length} \times \text{width}$$
3. **Calculate the area of the court:**
$$\text{Area} = 46 \times 35 = 1610 \text{ square feet}$$
4. **Calculate the number of cans needed:**
Since each can covers 115 square feet, the number of cans is
$$\frac{1610}{115} = 14\text{ cans}$$
5. **Interpretation:** Since Christine cannot buy a fraction of a can, she will need to buy 14 cans to cover the entire court.
**Final answer:** Christine needs 14 cans of wood stain to cover the court.
Court Stain Cans
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