Question

A pencil is
inches long. A piece of rope is
feet long. Which diagram and statement best represent their lengths?


Clear Check

A rope (length = 8) and pencil (length = 6).


A rope (length = 144 inches) and pencil (length = 6 inches).


A rope (length = 12 feet) and pencil (length = 6 inches).


A rope (length = 144 inches) and pencil (length = 6 inches). only one option

Answer 1

To compare the lengths of a pencil and a piece of rope effectively, we must ensure both measurements are in the same unit. Since the pencil's length is given in inches, we should convert the rope's length from feet to inches (1 foot = 12 inches).

Let's analyze the options:

1. **A rope (length = 8) and pencil (length = 6).**
- This option is incomplete, as it lacks units for the rope.

2. **A rope (length = 144 inches) and pencil (length = 6 inches).**
- This option correctly provides both lengths in inches. The rope is significantly longer than the pencil.

3. **A rope (length = 12 feet) and pencil (length = 6 inches).**
- The rope is 12 feet = 12 × 12 = 144 inches. Thus, this option also shows the rope in inches, and it clearly indicates that the rope is longer than the pencil.

4. **A rope (length = 144 inches) and pencil (length = 6 inches).**
- This option is the same as the second option and also presents the lengths clearly in the same unit.

Given these options, the best representation is:

**A rope (length = 144 inches) and pencil (length = 6 inches).**

This shows both lengths in the same unit (inches) and accurately conveys the comparison in length.