Question

A surveyor measured the distance between two points marked on the plan drawn to a scale of 1 cm = 1 m found it to be 50 m. Later he detected that he used wrong scale of 1 cm = 0.5 m for the measurement. The correct length and the correct area would be respectively, If measured area is 60 $m^2$ .

• A. 100 m and 120$m^2$
  
• B. 100 m and 240 $m^2$
  
• C. 25 m and 15$m^2$
  
• D. 240 m and 100$m^2$
  

Answer 1

The correct option is B 100 m and 240 $m^2$


$Correctlength=\frac{RFofwrongscale}{RFofcorrectscale}\times Measuredlength$

$=\frac{1/50}{1/100}\times 50=100m$

$Correctarea=\frac{(1/50{)}^2}{(1/100{)}^2}\times 60\approx 240m^2$