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Difficulty: EasyMap Enlargement and Reduction

A map drawn at a scale of 1:50,0001 : 50,000 is enlarged to twice its original linear dimensions. Calculate the denominator of the new Representative Fraction (R.F.) scale.

Answer: 25000

Answer

The denominator of the new Representative Fraction scale is 25,000.
When a map is enlarged linearly by a factor of 2, its scale increases by a factor of 2. Since Representative Fraction scale is expressed as 1 divided by the denominator, doubling the scale halves the denominator value from 50,000 to 25,000.

Step-by-Step Solution

1
Identify the given scale denominator and enlargement factor
Original denominator = 50,000; Enlargement factor = 2
Enlarging a map makes features larger on paper, meaning 1 unit on the map represents a smaller ground distance, which corresponds to a larger scale (smaller denominator).
2
Calculate the new scale denominator
50,000 / 2 = 25,000
New Scale Denominator = Original Scale Denominator / Linear Enlargement Factor

Key Concept

Map enlargement decreases the denominator of the Representative Fraction proportionally by the linear factor of enlargement.
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Topics

Map Enlargement and Reduction

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