Question

In a blue print 2 cm represents 25 km. How many centimeter in the blue print will

represent a distance of 200 km?

Answer 1

To find how many centimeters represent 200 km on a blueprint when 2 cm represents 25 km, set up a proportion and solve for the missing value. It is calculated that 16 cm on the blueprint would represent 200 km.

Step-by-step explanation:

To determine how many centimeters on the blueprint will represent 200 km, you'll first need to understand the given scale. The blueprint scale is 2 cm for 25 km. So the scale factor can be written as a ratio:

2 cm / 25 km

Now, set up the proportion to find out the number of centimeters for 200 km:

(2 cm / 25 km) = (x cm / 200 km)

Cross multiply to solve for x (the number of centimeters on the blueprint to represent 200 km):

25 km * x cm = 2 cm * 200 km

x = (2 cm * 200 km) / 25 km

x = 400 cm / 25

x = 16 cm

Therefore, 16 cm on the blueprint will represent a distance of 200 km.