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In a scale drawing, a building has a length of 15 cm. The actual length of the building is 37.5 feet. Whats the scale of the drawing?​

Respuesta :

Answer:

[tex]\frac{15}{37.5}\ \frac{cm}{ft}[/tex]

or

[tex]1.31:100[/tex]

Step-by-step explanation:

we know that

The scale of the drawing is equal to divide the length of a building in the scale drawing by the actual length of a building

so

[tex]\frac{15}{37.5}\ \frac{cm}{ft}[/tex]

That means

15 cm in the drawing represent 37.5 ft in the actual

Remember that

[tex]1\ ft=30.48\ cm[/tex]

Convert 15 cm to ft

divide by 30.48

[tex]15\ cm=15/30.48\ ft[/tex]

substitute

[tex]\frac{15}{37.5}\ \frac{cm}{ft}=\frac{(15/30.48)}{37.5}=\frac{0.0131}{1}[/tex]

or

[tex]1.31:100[/tex]

That means

1.31 units in the drawing represent 100 units in the actual