Question

the base of triangular field is three times its altitude. if the cost of sowing the field at Rs.58 per hectare is Rs. 783, find its base and altitude

Answer 1

Let the Altitude be a

Base = 3a

We know that,

Area = Cost / Rate

=> 1/2 × Base × Altitude = 783 / 58 hectares

=> 1/2 × a × 3a = 13.5 hectares

=> 3a^2 = 27 hectares

=> a^2 = 9 hectares

=> a^2 = 9 × 10000 m^2

=> a = 300 m

Base of triangle = 300 m

Altitude of triangle = 900 m

Answer 2

Let the Altitude be a

Base = 3a

We know that,

Area = Cost / Rate

=> 1/2 × Base × Altitude = 783 / 58 hectares

=> 1/2 × a × 3a = 13.5 hectares

=> 3a^2 = 27 hectares

=> a^2 = 9 hectares

=> a^2 = 9 × 10000 m^2

=> a = 300 m

Base of triangle = 300 m

Altitude of triangle = 900 m

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