A bar scale is a visual representation of the scale, typically a line segment marked with actual distances. A…

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A bar scale is a visual representation of the scale, typically a line segment marked with actual distances. A number scale (or ratio scale) expresses the relationship between a distance on the

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3.1.1
A bar scale is a visual representation of the scale, typically a line segment marked with actual distances. A number scale (or ratio scale) expresses the relationship between a distance on the plan and the actual distance as a ratio, for example, 1:50.

3.1.2
The scale 1:50 means that 1 unit of measurement on the plan represents 50 of the same units of measurement in the actual classroom. For instance, 1 cm on the plan corresponds to 50 cm in reality.

3.1.3

Determine the actual length in centimeters.
The teacher's desk measures 6 cm on the plan, and the scale is 1:50.
$\text{Actual length} = \text{Plan length} \times \text{Scale factor}$ $\text{Actual length} = 6 \text{ cm} \times 50 = 300 \text{ cm}$
Convert the actual length from centimeters to meters.
Since $1 \text{ m} = 100 \text{ cm}$ :
$\text{Actual length in meters} = \frac{300 \text{ cm}}{100 \text{ cm/m}} = 3 \text{ m}$
The actual length of the desk is $\boxed{\text{3 m}}$ .

3.1.4
Determine the actual distance in centimeters.
The learners' desks are 4 cm apart on the plan, and the scale is 1:50.
$\text{Actual distance} = \text{Plan distance} \times \text{Scale factor}$ $\text{Actual distance} = 4 \text{ cm} \times 50 = 200 \text{ cm}$
Convert the actual distance from centimeters to meters.
Since $1 \text{ m} = 100 \text{ cm}$ :
$\text{Actual distance in meters} = \frac{200 \text{ cm}}{100 \text{ cm/m}} = 2 \text{ m}$
The actual distance between the desks is $\boxed{\text{2 m}}$ .

A bar scale is a visual representation of the scale, typically a line segment marked with actual distances. A number scale (or ratio scale) expresses the relationship between a distance on the

Step-by-step solution

Determine the actual length in centimeters.

Convert the actual length from centimeters to meters.

Determine the actual distance in centimeters.

Convert the actual distance from centimeters to meters.

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