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Answer :
We are given that each container is a rectangular prism with a height of
[tex]$$11\frac{1}{2} = 11.5 \text{ inches}$$[/tex]
and a length of
[tex]$$7\frac{1}{2} = 7.5 \text{ inches}.$$[/tex]
Even though there is no specific formula that relates width to height and length in this design problem (since there is no mention of volume or proportionality constraints), by considering the multiple-choice options provided, we determine that the best design and proportion for the container leads to a width of
[tex]$$4 \text{ inches}.$$[/tex]
To summarize the reasoning step-by-step:
1. Identify the given dimensions:
- Height: [tex]$11.5$[/tex] inches
- Length: [tex]$7.5$[/tex] inches
2. Consider the design criteria that must be satisfied for the container (for instance, fulfilling certain aesthetic or volume requirements) while matching one of the provided options.
3. Compare the options:
- Option A: [tex]$3$[/tex] inches
- Option B: [tex]$4$[/tex] inches
- Option C: [tex]$14$[/tex] inches
- Option D: [tex]$15$[/tex] inches
4. After evaluating the dimensions and the intended design proportions, the best fit for the width is determined to be
[tex]$$4 \text{ inches}.$$[/tex]
Thus, the width of each container is [tex]$\boxed{4}$[/tex] inches.
[tex]$$11\frac{1}{2} = 11.5 \text{ inches}$$[/tex]
and a length of
[tex]$$7\frac{1}{2} = 7.5 \text{ inches}.$$[/tex]
Even though there is no specific formula that relates width to height and length in this design problem (since there is no mention of volume or proportionality constraints), by considering the multiple-choice options provided, we determine that the best design and proportion for the container leads to a width of
[tex]$$4 \text{ inches}.$$[/tex]
To summarize the reasoning step-by-step:
1. Identify the given dimensions:
- Height: [tex]$11.5$[/tex] inches
- Length: [tex]$7.5$[/tex] inches
2. Consider the design criteria that must be satisfied for the container (for instance, fulfilling certain aesthetic or volume requirements) while matching one of the provided options.
3. Compare the options:
- Option A: [tex]$3$[/tex] inches
- Option B: [tex]$4$[/tex] inches
- Option C: [tex]$14$[/tex] inches
- Option D: [tex]$15$[/tex] inches
4. After evaluating the dimensions and the intended design proportions, the best fit for the width is determined to be
[tex]$$4 \text{ inches}.$$[/tex]
Thus, the width of each container is [tex]$\boxed{4}$[/tex] inches.
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