A floor plan for a new office space is drawn using a scale of 1\text{ inch} = 6\text{ feet… — Armed Services Vocational Aptitude Battery (ASVAB)

A floor plan for a new office space is drawn using a scale of $1\text{ inch} = 6\text{ feet}$ . If the main conference room is $3.5\text{ inches}$ long on the floor plan, what is the actual length of the conference room in feet?

Answer: 21 feet

Answer

The scale indicates that every

1\text{ inch}

on the drawing corresponds to

6\text{ feet}

in reality. Therefore, a length of

3.5\text{ inches}

on the drawing represents an actual length of

3.5 \times 6 = 21\text{ feet}

Step-by-Step Solution

Identify the given scale and drawing measurement.

Scale:

1\text{ inch} = 6\text{ feet}

, Drawing length:

3.5\text{ inches}

These are the key values needed to calculate the actual length.

Multiply the drawing length by the scale factor.

3.5 \times 6 = 21

Since each inch represents

6\text{ feet}

, multiplying the number of inches by

6

gives the total actual feet.

Key Concept

Using a scale factor to convert a drawing measurement to an actual measurement.

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