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Question

A rectangle has a length labeled 5.2 inches and width labeled 3.8 inches.

Which response represents the longest possible length and width of the rectangle with the appropriate level of precision?

(1 point)
Responses

3.8 and 5.2 inches
3.8 and 5.2 inches

3.3 and 4.7 inches
3.3 and 4.7 inches

3.95 and 5.35
3.95 and 5.35

3.85 and 5.25 inches
3.85 and 5.25 inches
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Answer 1

To determine the longest possible length and width of the rectangle with appropriate levels of precision, we should take into account the significant figures of the given dimensions (5.2 inches and 3.8 inches).

The length 5.2 inches has two significant figures, and the width 3.8 inches also has two significant figures. The longest possible values that still respect the significant figures would typically be represented with slight increments while staying within a reasonable bound based on the precision of the original measurements.

Among the given options, the response that maintains two significant figures and provides the greatest values without going to the next decimal place is:

3.85 and 5.25 inches

This matches the precision of the original measurements and gives the maximum values possible while adhering to the significant figures.

So, the response is 3.85 and 5.25 inches.