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Rajan@2021
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Guru

On 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. Calculate: (i) The diagonal distance of the plot of land

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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

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1 Answer

  1. 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).

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