Verified Answer :

  • Recall that 1 foot is equal to 12 inches.
  • Compare 13 inches with 12 inches.
  • Since 13 > 12, 13 inches is greater than 1 foot.
  • The correct option is \(\boxed{a}\).

Explanation

  1. Analyzing the given lengths

We are comparing two lengths: 13 inches and 1 foot. To determine which is larger, we need to express both lengths in the same unit. We know the standard conversion factor between feet and inches is: 1 foot = 12 inches.

  1. Comparing the lengths

To compare the lengths, we convert 1 foot into inches. Since 1 foot equals 12 inches, we can now compare 13 inches and 12 inches directly. Comparing the numerical values, we see that 13 > 12, which means that 13 inches is greater than 1 foot.

  1. Conclusion

Since 13 inches is greater than 12 inches (the equivalent of 1 foot), 13 inches is the larger length. Therefore, option a is the correct answer. The final answer is \(\boxed{a}\).

Examples

When shopping for furniture, you might encounter measurements in both feet and inches. For example, if a table is 13 inches wide and you are looking for a space that is exactly 1 foot wide, knowing that 13 inches is slightly larger than 12 inches (1 foot) helps you determine that the table will not fit in that specific 12-inch wide spot. This simple conversion is essential for accurate spatial planning and construction.

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