Question

the base of a triangular field is four times its height if the cost of cultivating the field is rupees 5000 at the rate of rupees 1 per metre square then find the height and base of the field​

Answer 1

Answer:

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Step-by-step explanation:

Since the cost of levelling the field at the rate of Rs. 20 per square metre is Rs. 9,600

=> Area of the field =  

20

9600

​

=480sqm

Now, area of the triangular field =  

2

1

​

×base×height=480

=>  

2

1

​

×(2.4h)×(h)=480

=>h  

2

=400

=>h=20m

And base =2.4×20=48m

Answer 2

Let the height be x

Then, the base will be 4x

Rate of cultivating in m^2 = 1/-

Total cost = 5000/-

Area = 1/2 x base x height

= 1/2 . 4x . x = 5000

= 2x .x = 5000

= 2x^2 = 5000

= x^2 = 2500

= x = 500m

• Height = x = 500m

• Base = 4x = 4 x 500 = 2000m