McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
7. Scale Drawings and Models
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Exercise 8 Page 602

Measure the distance on the map. Then, create a proportion.

≈ 153 kilometers

Practice makes perfect
We are given that the scale of a map is 1.5cm: 100km. To find the actual distance between Ponca City and Shawnee, we will create a proportion. 1.5/100=distance on a map/actual distanceAfter measuring the distance using a ruler, we can see that the cities are 2.3 centimeters apart on the map. Let's substitute this value into the proportion. Let x represent the actual distance. 1.5/100=2.3/x Now we will solve the above proportion for x using cross multiplication.
1.5/100=2.3/x
1.5* x=100*2.3
Solve for x
1.5x=230
x=230/1.5
x=153.333...
x≈ 153
The distance between Ponca City and Shawnee is approximately 153 kilometers.