Question

The scale of a map is 1:25000 The distance between two villages is 8 cm on the map Find the actual distance in kilometers, between the villages.

Answer 1

Step-by-step explanation:

Direct proportion is an easy way of working with scales.

The ratio

1

:

25000

has no specific unit, but once a unit is chosen, the unit is the same for both.

Let's use

c

m

because that is the unit used.

1

c

m

:

25

,

000

c

m

means

1

c

m

on the map represents :

25

,

000

÷

100

,

000

=

0.25

k

m

Now you can compare

c

m

and

k

m

(A)

1

0.25

=

20

x

←

c

m

←

k

m

x

=

0.25

×

20

=

5

k

m

(B)

1

0.25

=

x

10

←

c

m

←

k

m

x

=

10

0.25

=

40

c

m

Answer 2

Actual distance = 25000*10cm

= 250000cm

=250000/100000

=2.5km