Question

The 250 m between sams house and the tennis court correspoind to 5cm on a town map what is the actual distance

Answer 1

The actual distance between the sandbox and the swings is 125 meters, calculated using the scale ratio found on the map where 250 meters corresponds to 5cm.

Step-by-step explanation:

To find the actual distance between the sandbox and the swings, we first need to establish the scale of the map. Given that 250 meters corresponds to 5cm on the map, we can set up a proportion to find the actual distance for any other measurement on the map.

The scale ratio is:

• 5cm / 250m

Now, for the sandbox to the swings, which is given as 2.5 centimeters, we can use this scale ratio to find the actual distance:

The proportion is:

• 2.5cm / x meters = 5cm / 250m

To solve for x:

1. Multiply both sides by x:
2. 2.5cm * 250m = 5cm * x
3. Now, divide both sides by 5cm to isolate x:
4. x = (2.5cm * 250m) / 5cm
5. x = (625m) / 5
6. x = 125 meters

So, the actual distance between the sandbox and the swings is 125 meters.