Gulf gully and jump rope road are a pretty far distance. if the scale for the map is 0.5 inches=2.3 miles, what is the actual distance between the two two places? distance is 12 cm and 6 cm to jump rope to gulf gully

12 cm = 21.62 miles

6 cm = 11.04 miles

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of and simplify.

We know . We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write and  

We set them equal.

and

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

and

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6