Question

The base of triangular field is three times its height .If the cost of cultivating the field atRs.36 per hectare is Rs.486,find its base and height(1 hectare=10000m^2

Answer 1

Total cost of cultivating the field = 486
Cost of cultivating field per hectare= 36
Area of triangular field =(486/36) = 13.5h^2 =135000m^2
Height of the triangle be x
Therefore base of the triangle = 3x
Area of triangle =b×h×1/2
Therefore :
x×3x×1/2 = 135000
3x^2 = 135000×2 = 270000
x^2 =270000/3 = 90000
x^2 = 90000
x = root90000
x = 300
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Answer 2

Given -

The base of a triangular field is three times its height. If the cost of cultivating the field at Rs.36 per hectare is Rs.486.

To find -

Base and height of triangular field

Solution -

Let the height be x and its base be 3x

If the cost of cultivating the field at Rs.36 per hectare is Rs.486.

Area of triangular field

→ Total cost/Rate

→ 486/36

→ 13.5 hectare

Focus Zone : 1 hectare = 10000m²

Area of triangular field = 13.5 × 10000 = 135000 m²

According to the question

→ Area of triangular field = 135000

→ ½ × base × height = 135000

→ ½ × 3x × x = 135000

→ 3x²/2 = 135000

→ 3x² = 270000

→ x² = 270000/3

→ x² = 90000

→ x = √90000

→ x = ± 300 m

Focus Zone : Length never be in negative

•°• Height of triangular field = x = 300m

•°• Base of triangular field = 3x = 900m

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