GATE (CE) 2022: SURVEYING:14

A rectangular plot of 9 km² in area is shown on a map by a similar rectangular area of 1 cm². R.F. of the scale to measure a distance of 30 km will be:

An area of a field is 300 square centimeters from a shrunk map having shrunk factor of a 0.8 . Calculate the original area (square meters) on the field, if the original scale of the map is 1 cm = 50 m.

The plan area of an old survey plotted to a scale of 10 m to 1 cm presently measures 82.5 cm². It is believed that plan has shrunk so that the original line of 10 cm now measures 9.1 cm. Also the chain used was of 20 m and was 9 cm too short. The true area of the survey is

The area of a plan of an old map of scale 1 cm = 10 m is now measured as 90.5 cm². The plan is found to have shrunk so that line originally 10 cm long now measures as 9.5 cm only. It is also found that 20 m chain used was 9 cm short then calculate the true area on the ground.

A plan of an area shrunk such that the line that originally measures 20 cm is now 19.8 cm only. If the original scale was 1cm = 200 m. Consider the following statements:

i. Shrunk scale will be 202.02 m = 1 cm

ii. Correct length corresponding to measured length of 10 m is 10.5 m.

Which of the following statements are correct?