Question

The base of a triangular field is three times its
altitude .if the cost of watering the field
at Rs 96 per hectare is Rs 3600 find the measure
the base and height
​

Answer 1

Answer:Altitude=500m and base=1500m

Step-by-step explanation:

Let the Altitude be x then base be 3x

Area of triangular field=1/2×b×h

1/2×3x×x

(1 hectare=10,000 m) Area=3x^2/2×10,000

According to the question

3x^2/2×10,000×96=3600

x^2=3600×2×10,000/3×96

x^2=250000

x=500m

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Answer 2

$\huge{ \purple{ \underline{ \boxed{ \mathfrak{{ \pmb{{Answer}}}}}}}}$

$\small\sf \green{Let, \: altitude \: of \: triangular \: field \: be \: x \: m}$

$\sf \small \green{Therefore, the \: base \: of \: triangular \: field \: will \: be \: 3x \: m.}$

$\small \tt \red{Area \: of \: triangular \: field = \frac{1}{2} \times base \times height}$

• $\tt\small \red{ = \frac{1}{2} \times 3x \times x \: {m}^{2} }$
• $\tt \small \red{ \frac{ {3}^{2} }{2 \times 10000} \: hectare}$

$\large \sf \green{According \: to \: question,}$

$\small \tt \red{ \frac{ {3}^{2} }{2 \times 1000} \times 96 = 3600}$

$\tt \small \red{ {x}^{2} = \frac{3600 \times 2 \times 10000}{3 \times 96} = 250000}$

$\tt \small \red{x = 500m}$

• Therefore, Altitude of triangular field = 500 m .
• and, Base of triangular field = 3×500 = 1500 m.