An overnight delivery service will not accept any package whose combined length and girth (perimeter of a cross section) exceeds 98 inches. Suppose that you are sending a rectangular package that has square cross sections. If the length of the package is 58 inches, what is the maximum width of the sides of its square cross sections?
A)16.0 inches
B)14.0 inches
C)10.0 inches
D)4.0 inches
E)12.0 inches

Question

Quizplus · Accepted Answer

Let's assume that the width of the rectangular package is w inches. Since the package has square cross sections, the girth is given by 4 times the width of the package's cross section, which is just 4w.
The length of the package is 58 inches, which means that the combined length and girth of the package should not exceed 98 inches. This gives the equation:
58 + 4w <= 98
Simplifying this equation gives:
4w <= 40
w <= 10
Therefore, the maximum width of the square cross sections is 10 inches, which is choice C.

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