ICSE Guess > ICSE/ISC eBooks > Class X > Maths by Mr. M. P. Keshari

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SOME SOLVED EXAMPLES

Example – 1. A map is drawn to scale 1 cm to 10 km

1. What is the actual distance between two places which on the map is 2cm.
2. If the actual distance is 1000 km what will be this distance on the map?
3. What is the actual area which on map occupies 3.6sq.cm

Solution : 1cm on the map = 10km on the land

1. 2cm on the map = 2 x 10km on the land
   = 20km on the land
2. 10km on the land = 1cm on the map
   1km on the land = 1/10cm on the map
   1000 km on the land = 1/10 x 1000cm on the map
   = 100cm on the map
3. 1 cm on the map = 10km on the land
   (1cm² on the map) = (10km² on the land)
   1cm² on the map = 100km² on the land
   3.6cm² on the map = 3.6 x 100km² on the land
   = 360km² on the land
   

Example – 2 : On a map drawn to a scale of 1 : 1,25,000. One triangle plot of land has the following measurements : PQ = 10cm, QR = 8cm and Calculate:

1. The actual length of PQ in km.
2. The area of the plot in square km.

Solution : By Pythagoras Theorem

1. According to the scale



 

2. 1cm on the map = 1.25km on the land
   (1cm)²on the map = (1.25km)² on the land
   1 sq.cm on the map = 1.5625 sq km on the land
   24 sq cm on the map = 24 X 1.5625 sq km on the land = 37.5 sq.km on the land