Question

The area of a triangular poultry fence is c

2 + 10c + 16 square meter (sq. m. ). Find the

base if the height is c + 8m. (Recall: Area of triangle =
1
2
bh)

Answer 1

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MATHS

A triangular park in a city has dimensions 100m X 90m X110m.A contract is given to a company for planting grass in the park at the rate of Rs.4000 per hectare.Find the amount to be paid to the company.(Take

2

=1.414)

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ANSWER

Heron

′

s Formula :

Area of a triangle = Δ=

s(s−a)(s−b)(s−c)

where s is the semi-perimeter and a, b and c are the sides of the triangle.

s=

2

a+b+c

Here, for the triangular park,

a=100 m, b=90 m, c=110 m and

s=

2

100+90+110

=150 m

Area of the triangular park = Δ=

150×50×60×40

=3000

2

m

2

=0.3

2

ha=0.4242 ha

Rate of planting grass = Rs. 4000 /ha

So, the amount to be paid = 4000×0.4242=Rs. 1696.80. [C]