Question

An area of 36 square kilometer is represented by 144 square centimeter on map. What is r f

Answer 1

36×144
=180
144×36
=5284

Answer 2

Answer:

RF is 1 / 50000

Step-by-step explanation:

Rf, that is, Representative fraction is represented as :

RF = Length of an Object on drawing sheet ( in cm ) / Actual length of the object ( in cm )

According to question,

An area of 36 square kilometer is represented by 144 square centimeter on map, that is,

Length of object on drawing sheet = 144 square cm

Actual Length of Object = 36 square km

Since we know,

1 km = 100000 cm

So ,

36 sq km = 36 * ( 100000)²

Now since Area is in Square cm,

RF = √ ( Length of an Object on drawing sheet  / Actual length of the object )

RF = √ ( 144 / 36 * ( 100000)² )

= 2 / 100000

= 1 / 50000

Hence,

RF is 1 / 50000