Question 3 of 3intermediate🔧 ApplyNumerical8 marks

Convert the given Representative Fraction (R. F.) into Statement of Scale in the System of Measurement shown in parentheses:

(i)

1 : 100,000 (into km)

Answer

1 cm represents 1 km

(ii)

1 : 31680 (into furlongs)

Answer

1 inch represents 4 furlongs

(iii)

1 : 126,720 (into miles)

Answer

1 inch represents 2 miles

(iv)

1 : 50,000 (into metres)

Answer

1 cm represents 500 metres

Explanation

To convert R.F. into Statement of Scale, we interpret the ratio as: 1 unit on map represents the given number of units on ground. Then we convert the ground distance into the required unit of measurement using appropriate conversion factors. The context provides key conversions: 1 mile = 63,360 inches and 1 km = 100,000 cm.

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