Question

The base of a triangular field is three times its altitude. If the cost of levelling the field at ₹ 30.50 per sq .metre is ₹ 7350, find its base and height.​

Answer 1

Step-by-step explanation:

Given that b=3h

Area=

2

1

×bh

Area=

2

1

×(3h)h

Area=

2

1

×3h

2

Given that

⇒58×

2

1

×3h

2

=783

⇒3h

2

=27

⇒h

2

=9

⇒h=300m

⇒b=900m

Answer 2

Answer:

Step-by-step explanation:

Total amount = 7350

Cost per 1 sq. metre = 30.50

Area = total cost / Cost per sq. m

Area = 7350/ 30.50

Area = 240 m2

Area of triangle = 1/2 * b * h

Given, base = 3 * h = 3h

240 = 1/2 * 3h * h

480 = 3h2

h2 = 480/3

h = \sqrt{160}

h = $4\sqrt{10}$

Height =$4\sqrt{10}$

Base = 3 * $4\sqrt{10}$

Base = 12$\sqrt{10}$

My Solution is based on the Given values in the Question.

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