Question

A map draw to a scale of 1cm to 10km measure 24cm by 18cm if the areas of land and water represented are in the ratio of 7:2 find in square km the land area represented

Answer 1

Answer:

area of land represented in the map is 33600 square km.

Step-by-step explanation:

Given,

map draw 1 cm to 10 km

Measurement done on the map of

length = 24 cm

and width =18 cm

So, the measurement of the given area in real,

length = 24 x 10 km

           = 240 km

width = 18 x 10 km

           = 180 km

so, area measured = length x width

                                = 240 x 180 square km

                                = 43200 square km

Since, the ratio of area of land and water = 7:2

 so, we can write,

7x + 2x = 43200

=> 9x = 43200

=> x= 4800

Hence, the area of land = 7x

                                        = 7 x 4800 km

                                         = 33600 square km

So, the area of land represented in the map is 33600 square km.