The base of a triangular field is three times its altitude . If he cost of cultivating the field at Rs. 24.68 per hectare be Rs. 333.18 , find its base and height .
Area of the field = `(Total cost)/ (Rate)`
=`333.18/24.68` hectares = 13.5 hectares.
= (13.5 x 10000) `m^2` = `135000 m^2`
Let altitude = `x` meres and base = `3x` metres
Then , `1/2 xx 3x xx x` = 135000`
`hArr x^2 = 90000`
`hArr x = 300`
`:.` Base = 900 m and Altitude = 300 m.
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