Question

If the base of a triangular field is three times its altitude.if the cost of watering the field at RS. 96 per hectare is rupees 3600.find the measure of the base and height.

Answer 1

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Let ,

the altitude of the triangle be y

Then the base will be 3y

Area of triangle is 1/2 x base x altitude
                           
=1/2 x 3y xy
                           
= 1/2 x
                           
= 3y/2
                        
Cost of sowing the field at rs 58 per hectare
= 58 × 3x2/2 = 87x2

Therefore, 87x2 = 783

= 783/87 = 9

⇒ y = 3

Base = 3(3) = 9
Hence base is 9 and altitude is 3.

Answer 2

HEY MATE!!!

Let the altitude be = y

And the base be = 3y

Area of triangle is 1/2 x base x altitude

                           

=1/2 x 3y xy

                           

= 1/2 x 

                           

= 3y/2

                        

Cost of sowing the field at Rs 58 per hectare 

= 58 × 3x2/2 = 87x2

87x2 = 783

= 783/87 = 9

y = 3

Base = 3(3)

= 9

therefore base is 9 and altitude is 3.

HOPE IT HELPS YOU !!!