The base of a triangular field is 2.4 times its height. If the cost of levelling the field at the rate of ₹20 per square meter is ₹9600, then find the height of the field.

Open in App

Solution

Let the height of the field be 'h'

base 2.4 h

$\frac{1}{2} \times 2.4 h \times h \times 20 = 9600$

$h^{2} = 400$

$h = 20 c m$

Suggest Corrections

Similar questions

The base of a triangular field is 2.4 times its height. If the cost of levelling the field at the rate of ₹20 per square meter is ₹9600, then the height of the field is ___ m.

Q. The base of a triangular field is 2.4 times its height. If the cost of levelling the field at the field at the rate of Rs. 20 per square metre is Rs. 9,600; find its base and height.

If the cost of levelling a triangular field at the rate of ₹20 per square meter is ₹9600, then the area of the field is ___ sq m.

Q. The base of a triangular field is three times its height. If the cost of cultivating the field at Rs 36.72 per hectare is Rs 495.72, then find its base and height.

Join BYJU'S Learning Program

The base of a triangular field is 2.4 times its height. If the cost of levelling the field at the rate of ₹20 per square meter is ₹9600, then find the height of the field.

Let the height of the field be 'h' base 2.4 h 12×2.4h×h×20=9600 h2=400 h=20cm

Let the height of the field be 'h'

base 2.4 h

$\frac{1}{2} \times 2.4 h \times h \times 20 = 9600$

$h^{2} = 400$

$h = 20 c m$