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.
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ML Aggarwal avichal publication

Class 10, similarity, chapter 13.3, question no 18

## AB=6cm, BC=8cm

According to pythagoras theorem

⇒AC=AB^2+BC^2

⇒AC=√(6^2+8^2)

⇒AC=√(36+64)=√100=10cm

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

Thus, the actual length will be 50,000×10=500,000cm=5km

(Since 1km=100,000cm).