Question

the scale of a map say that 4 cm represents 5km what distance on the map in cm represents an actual distance of 10 km

Answer 1

We can do as follow s

centimeters km

4 5

x 10

which is the same as saying that 4 centimeters are 5km, so x centimeters are 10 km. We want to find the value of x. To do so, we use the fact that this is a proportion, so it must happen that

`(4)/(5)\text{ = }(x)/(10)`

So if we multiply on both sides by 10, we get

`x\text{ = }\frac{4_{}\cdot10}{5}\text{ = }(40)/(5)=8`

So 8 cm represent 10 km.