Question 2 of 3intermediate🔧 ApplyNumerical8 marks
Convert the given Statement of Scale into Representative Fraction (R. F.).
(i)
5 cm represents 10 km
Answer
R.F. 1 : 200,000
(ii)
2 inches represents 4 miles
Answer
R.F. 1 : 126,720
(iii)
1 inch represents 1 yard
Answer
R.F. 1 : 36
(iv)
1 cm represents 100 metres
Answer
R.F. 1 : 10,000
Explanation
To convert Statement of Scale into R.F., both map distance and ground distance must be expressed in the same units. The R.F. is then written as a ratio of 1 unit on the map to the equivalent number of units on the ground. The context provides key conversions: 1 mile = 63,360 inches and 1 km = 100,000 cm. Standard conversions for yards and metres are also applied.