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Question

The base of a triangular field is three times its altitude. If the cost of sowing seeds in the field at 58/- per hectare is 783/-,find base and altitude.

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Solution

Let the altitude of the triangle be x
Hence base = 3x
Area of triangle = (1/2) × base × height
=12 × (x) × (3x) = 3x22 m2
Cost of sowing the field at rs 58 per hectare =58×3x22×104
As 1 hectare =104 m2
= 87x2×104
Therefore, 87×x2×104=783
x2 =78387=90000
⇒ x = 300 m
Base = 3(300) = 900 m
Hence base is 900 m and altitude is 300 m.


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