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19 votes
19 votes
the scale of a map says that 4 centimeters represents 5 km what is the actual number of kilometers that is represented by 16 cm on the map

User Ileane
by
2.4k points

1 Answer

13 votes
13 votes

This question is about proportions. So we can build the following table:

Centimeters Km

4 5

16 x

So we have the following equation


(4)/(5)=\text{ }(16)/(x)

this equation is equivalent to


(x)/(16)\text{ = }(5)/(4)

So multyplying by 16 on both sides we get


x\text{ = }(16\cdot5)/(4)\text{ = 4}\cdot5\text{ = 20}

So 16 cm are 20 km.

User Chrisgh
by
2.8k points
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