An architect uses a scale of 2/3inch to represent 1 foot on a blueprint for a building. If the east wall of the building is 24 feet long, how long (in inches) will the line be on the blueprint?

How about let's make this easier. Easier is better, right? Let's get rid of the fraction 2/3. We will do that by multiplying 2/3 by 3 and 1 by 3 to get the equivalent ratio of

[tex]\frac{in.}{ft}:\frac{2}{3}[/tex]

Now we need to know how many inches there would be if the number of feet is 24:

[tex]\frac{in.}{ft}:\frac{2}{3} =\frac{x}{24}[/tex]

Cross multiply to get

3x = 48 so

x = 16 in.

eudora eudora · Answer 2 · 2022-02-17T12:31:14+01:00

Length of the wall on blueprint will be 16 inches.

Use of scale to calculate the distances or length,

Scale used by an architect on a blueprint,

[tex]\frac{2}{3}\text{ inch}= 1\text{ foot}[/tex]

Scale represents the ratio of the length of the wall on blueprint and actual length,

[tex]\frac{\text{Length on the blueprint}}{\text{Actual length}} =\frac{\frac{2}{3}\text{ inches}}{1\text{ feet}}[/tex]

[tex]\frac{\text{Length on the blueprint}}{\text{Actual length}} =\frac{2}{3}[/tex]

If actual length of the east wall of the building = 24 feet

Substitute the value in the expression representing the ratio,

[tex]\frac{\text{Length on the blueprint}}{24} =\frac{2}{3}[/tex]

Length of the blueprint = [tex]\frac{2}{3}\times 24[/tex]

= [tex]16[/tex] inches

Therefore, length of the wall on blueprint will be 16 inches.

Learn more about the use of scale to calculate the distances on map.

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