Question

the base of a triangular field is three times its height. If the cost of cultivating the field at rs 1080 per hectare is rs 14580, find its base and height

Answer 1

base =3height ,rate,=1080 cost =14580. area=14580/1080=13.5. we know that area of triangle =1/2*b*h. 1/2*3h*h=13.5. 4h =27. h=27/4. h=6.75

Answer 2

Answer:

Height= 300m, Base= 900m

Step-by-step explanation:

Area of triangular field= Total cost/Cost per hectare= 14580/1080=13.5hectare

Height= x   Base= 3x

Area= base*height* 1/2

=3x*x*1/2

1 hectare= 10000m²

3x²/2=135000m²

x²= 135000*2 /3= 90000

x²=90000

x=√90000= 300

∴ Height=300m   Base=900m