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Question

The plan of a survey plotted to a scale of 20 m to 1 cm is reduced in such a way that a line originally 20 cm long measures 18 cm. The area of the reduced plan is measured as 324 cm2. The actual area (in hectare) of the survey is ______
  1. 16

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Solution

The correct option is A 16
Shrinkage factor=1820=0.9

Reduced plan area=(Shrinkage factor)2× Actual plan area

324=(0.9)2× Actual plane area

Actual plan area= 400cm2

Actual area of survey (in ha)= 400×(20)2104
=16 hectares


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