Question

The scale on a map is 8 cm:12 feet. how long is a field that is 24 cm long on the map?

Answer 1

To determine the real length of a field that is 24 cm on the map with a scale of 8 cm:12 feet, we use a proportion to find that the field is actually 36 feet long.

Step-by-step explanation:

The question is asking us to convert a measurement on a map to an actual length measurement using a given scale. The scale provided is 8 cm:12 feet, and the map length is 24 cm. To find out how long the field is in reality, we need to set up a proportion based on the scale.

Step-by-step Solution:

1. Write the given scale as a fraction: 8 cm / 12 ft.
2. Write down the map measurement with the unknown actual length: 24 cm / x ft.
3. Set up the proportion to find the actual length (x): (8 cm / 12 ft) = (24 cm / x ft).
4. Cross multiply to solve for x: 8 cm * x ft = 24 cm * 12 ft.
5. Divide both sides by 8 cm to isolate x: x = (24 cm * 12 ft) / 8 cm.
6. Simplify the calculation: x = 3 * 12 ft.
7. The actual length of the field is 36 feet.