Question

The distance of 62.5km between A and D is represented on the map considered in question 11. What will be the distance in cm on the map?
Q.11 In a map, a distance of 50km between two places A and B is represented by 4cm. What will be the actual distance between A and C represented on the map as 7cm?

Answer 1

4 : 50 :: 7 : x

4x = 50×7

x = (50 × 7)÷4

x = 350 ÷ 4

x = 87.5 km

Answer 2

The actual distance between A and C represented on the map as 7cm is 87.5 km

Step-by-step explanation:

In a map, a distance of 50km between two places A and B is represented by 4cm.

4cm = 50 km

Actual distance between A and D is 62.5km

So, Distance on Map between A and D :

50 km = 4 cm

$1 km = \frac{4}{50} cm$

So,$62.5 km = \frac{4}{50} \times 62.5 = 5 cm$

So, the distance between A and D is 5 cm on the map

Distance between A and C on map = 7 cm

So, Actual distance:

4cm = 50 km

$1 cm = \frac{50}{4}\\7 cm = \frac{50}{4} \times 7=87.5km$

So,  the actual distance between A and C represented on the map as 7cm is 87.5 km

#Learn more :

The scale of a map is 1:5000000.what is the actual distance between two towns, if they are 4cm apart on the map

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