Question

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

Answer 1

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.