Question

in an atlas map occupies one fifth of page with dimensions 25cm and 30 cm respectively if the real area of map is 1994400m2 the scale to which map is drawn

Answer 1

Given:

Real area of the map = 1994400 m²

Dimensions of the page = 25 cm, 30 cm

To find:

The scale to which map is drawn

Calculation:

Area of the page occupied by atlas map = (1/5)×25×30

                                                                    = 150 cm²

Area of 150 cm² on the atlas map represents 1994400 m² in the real map

Area of 1 cm² on the map represents = 1994400 m² / 150 cm²

                                                              = 13296 m² : 1 cm²

Ratio of lengths = √(real area / map area)

                          =  √13296 m² / 1 cm²

                          =  115.3 m / 1 cm

Scale = 1 cm = 115.3 m

The scale to which map is drawn is 1 cm = 115.3 m