Question

Question 7
a) The base of a triangular field is double its height. The cost of cultivating the field at 360 per
hectare is 5760. Find its base and height.
(3)​

Answer 1

Answer:

Given

Let ABC be a triangle and CD is ⊥ to AB.

Given AB = 3CD---(1)

cost of cultivating per hectare = 1080

Total cost in cultivating field ABC = 14580 Rs

So area of field ABC =

1080

14580

hectare

area of field ABC =13.5 hectare

or 135000m

2

Now we know

area of triangle =

2

1

(AB×CD)

using eq(1) we get

2

1

×3CD×CD=135000

(CD)

2

=

3

270000

=90000

CD=300m

and AB=900m

Hence height of field is =300m

and Base of field is =900m