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.

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:

And the scale measurement is:

Represent as a fraction

Make "Actual" the subject

Substitute

Hence, the actual length is 171.67 ft.

Read more about scale drawings at:

link

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

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i ran through it by the other answer is wrong