Question

the base of a triangular field is three times its height if the cost of cultivating the field at ₹ 36 per hectare is ₹486, find its base and height (1 hectar =10000m2​

Answer 1

Answer:

Height = 300m | Base = 900m

Step-by-step explanation:

Let the height of Field be = x

Let the base of Field be = 3x

Ar(Field) = 486/36 * 10,000

              = 13.5 * 10,000

              = 135,000m²

Ar(Field) = 1/2 * base * height

135,000m² = 1/2 * 3x * x

135,000m² * 2 = 3x²

270,000m² = 3x²

90,000m² = x²

Therefore, x = 300m

so,             3x = 3*300

                      = 900m

So the height is 300m and Height is 900m