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So a scale drawing of a school bus has a scale of 12 inch to 5 feet. If the length of the school bus is 412 inches on the scale drawing. I need to know the actual length of the bus and I need to explain or show my reasoning too.

Respuesta :

Scratchnem

Answer:

So since the scale is 12 inches:5 feet, we have to divide 412 inches by 12 inches because 412 inches is the total length drawn on the scale drawing.

412/12 = 34.3

Then since each 12 inches equals 5 feet and we have 34.3 12x inches. We are just going to multiply 34.3 by 5.

34.3*5 = 171 and 2/3 feet is your actual length of the bus

MrRoyal

Scale ratios are used when a shape, line or segment is dilated.

The actual length of the school bus is 171.67 ft.

The scale ratio is given as:

[tex]Scale : Actual = 12in : 5ft[/tex]

And the scale measurement is:

[tex]Scale = 412in[/tex]

Represent [tex]Scale : Actual = 12in : 5ft[/tex] as a fraction

[tex]\frac{Actual}{Scale} = \frac{5ft}{12in}[/tex]

Make "Actual" the subject

[tex]Actual= \frac{5ft}{12in} \times Scale[/tex]

Substitute [tex]Scale = 412in[/tex]

[tex]Actual= \frac{5ft}{12in} \times 412in[/tex]

[tex]Actual= \frac{5ft \times 412}{12}[/tex]

[tex]Actual= \frac{2060 ft}{12}[/tex]

[tex]Actual= 171.67 ft[/tex]

Hence, the actual length is 171.67 ft.

Read more about scale drawings at:

https://brainly.com/question/16192120

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