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, 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).