To determine the width of the art project given its area, we need additional information about the shape of the project. A common assumption is that the project has a rectangular shape.
Assuming the shape is rectangular, the width would depend on the length. If we have a specific length, we could use the formula for the area of a rectangle, which is:
\[ \text{Area} = \text{length} \times \text{width} \]
Given only the area (63.6 square inches) and no length, we can calculate potential widths assuming different lengths.
However, if we make an assumption about the shape (for example, if it's close to a square) and compare the provided widths with the given area, we can check which one works.
For a square-like figure:
- Calculate the side length if the project were a square, by taking the square root of the area: \[ \text{side length} = \sqrt{63.6} \approx 7.98 \text{ inches} \] This is quite larger than the widths given.
Let's check the provided width options to see for what length they might lead to an area close to 63.6 square inches.
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If width = 4.3: \[ \text{length} = \frac{63.6}{4.3} \approx 14.79 \text{ inches} \]
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If width = 4.8: \[ \text{length} = \frac{63.6}{4.8} \approx 13.25 \text{ inches} \]
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If width = 5.3: \[ \text{length} = \frac{63.6}{5.3} \approx 12.00 \text{ inches} \]
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If width = 5.8: \[ \text{length} = \frac{63.6}{5.8} \approx 10.95 \text{ inches} \]
Without further context about the dimensions of the project (like whether it is rectangular or some specific proportions), we can't definitively choose a width from the given options. But if we're looking for which dimension might realistically fit, lengths associated with the widths 4.3, 4.8, and 5.3 yield larger lengths that are more reasonable.
Since we assume a rectangular or reasonable shape, the width could reasonably be one of the provided options like 5.3 inches, which gives a manageable length— as it's likely a design constraint. Thus, among the choices, 5.3 inches seems to fit best for a plausible rectangle area with 63.6 square inches. Hence, the best guess from the given choices for the width of the project is:
5.3 inches.