A basic question from similarity chapter in which we have been asked to** Calculate the diagonal distance of the plot of land in km**

And we have given a map **drawn to scale of 1 : 2,50,000 a rectangular plot of land ABCD has the following measurement AB = 12 cm, BC = 16 cm angles A, B, C, and D are 900 each.
**

ML Aggarwal avichal publication

Class 10, similarity, chapter 13.3, question no 18

## AB=6cm,Â BC=8cm

According to pythagoras theorem

â‡’AC=AB^2+BC^2â€‹

â‡’AC=âˆš(6^2+8^2)â€‹

â‡’AC=âˆš(36+64â€‹)=âˆš100â€‹=10cm

On the map the length of the diagonal of the plot isÂ 10cm.

Thus, the actual length will beÂ 50,000Ã—10=500,000cm=5km

(SinceÂ 1km=100,000cm).