Question

There are two equal parts.

Part 1: A scaled drawing of a school bus has a scale of 1/2 inches to 5 feet. If the length of the school bus is 4 1/2 inches on the scaled drawing, what is the actual length of the bus?
Part 2: A scaled drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on a scaled drawing?

Answer 1

To find the actual length of the bus, we multiply the length of the scaled drawing by the scale factor, resulting in 45 feet. The width of the lake on the scaled drawing is calculated using proportions, resulting in 12.5 cm.

Step-by-step explanation:

To solve problems related to scale and measurement, we apply proportions that compare the scale factor to the real or actual measurement. Let's tackle each part of the provided problems.

Part 1

The school bus scaled drawing has a scale of 1/2 inch to 5 feet. So if the drawing shows the bus at 4 1/2 inches, we set up a proportion to find the actual length:

1. 4.5 inches (drawing) / 0.5 inch (scale) = Actual Length / 5 feet (scale)
2. Actual Length = (4.5 / 0.5) * 5 feet
3. Actual Length = 9 * 5
4. Actual Length = 45 feet

Part 2

The lake's scaled drawing has a scale of 1 cm to 80 m. For an actual width of 1,000 m, we again use proportions:

1. 
   
3. Width on drawing / 1 cm (scale) = 1,000 m (actual) / 80 m (scale)
4. 
   
6. Width on drawing = (1,000 / 80) cm
7. 
   
9. Width on drawing = 12.5 cm