map scale / multiplying rational numbers

jth

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HELP - - - don't think this problem has everything I need to solve: Maps. The Darling Downs Rabbit Board fence was built to prevent the spread of rabbits into southern Queensland, Australia. On a map drawn to a scale of 1/2,500,000 the fence measures 8 3/4 inches. How long is the actual fence?
 
HELP - - - don't think this problem has everything I need to solve: Maps. The Darling Downs Rabbit Board fence was built to prevent the spread of rabbits into southern Queensland, Australia.

On a map drawn to a scale of 1/2,500,000 the fence measures 8 3/4 inches.

How long is the actual fence?

The ratio 1/2500000 tells us that one inch on the map represents 2.5 million inches on the earth.


EG

A line segment on the map that measures 6 inches represents a distance of 6×2500000 inches, or 15 million inches.


Did they specify a different unit, to report the length of the actual fence?

If they want to see something other than "millions of inches", then you'll need to convert units (like inches-to-miles, inches-to-kilometers, etc).

Cheers :cool:
 
you have all the info you need. here is a tip:

if you wanted to draw a scaled map so that it is 1:100, that means that for each unit (inch, foot, meter, mile, etc...) of actual distance you would draw only a 100th of it on the paper. thus when someone reads the map, when they measure a unit length, they are measuring a 100th of the actual distance and must realize that each inch is representing 100 inches...

now look at your problem and see how that relates to this, good luck and keep doing math!!!
 
so are you saying then that 8.75 x 2,500,000 = 21,875,000 inches which equals 1,822,916.67 feet or 845.25 miles????
 
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