Question

6. The base of a triangular field is three times its height. If the cost of cultivating the field
at 36 per hectare ls + 486, find its base and height (1 hectare = 10000 m)​

Answer 1

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Area of triangle = 1/2×base×height.

1/2*x*3x

= 3/2x²

1 hectare = 10,000 sq. meter

the rate of cultivating the field = rs. 36

total cost = rs. 486.

total cost = area of the triangular field × rs. 36

3/2x² × 36/10,000 = 486.

${x}^{2} = \frac{486}{36} \times \frac{2}{3} \times 10000$

x² = 90000 m²

x = 300 m

height of the triangular field = x = 300 m

base of the triangle field = 3x = 3×300 = 900m

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Answer 2

Answer:

area of triangle = 1/2×base×height.

1/2*x*3x

= 3/2x²

1 hectare = 10,000 sq. meter

the rate of cultivating the field = rs. 36

total cost = rs. 486.

total cost = area of the triangular field × rs. 36

3/2x² × 36/10,000 = 486.

x² = \frac{486}{36} * \frac{2}{3} * 10000

36

486

∗

3

2

∗10000

x² = 90000 m²

x = 300 m

height of the triangular field = x = 300 m

base of the triangle field = 3x = 3*300 = 900m

Step-by-step explanation:

Solve like thisAnd your answer will be absolutely right.Hope it's help you....