A triangulas park ABC has sides 120m,80m and 50m. A gardener has to put a fence all around it and also plant some trees inside the garden to get clean air.
(1) Find the cost of fencing it with barbed wire at the rate of Rs 50 per meter leaving a space 5cm wide for a gate on one side.
(2) Find the area when gardener may plant the tree.
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sidratul1:
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Answers
Answered by
1
Answer:.
Let a=120m b=80m c=50m
s=a+b+c/2
=120+80+50/2
=250/2
=125m
From heron's formula
Area of triangle=√s(s-a)(s-b)(s-c)
=√125*5*45*75
=√5*5*5*5*5*3*3*5*5*3
=375√15m2
Perimeter of trianglular park=250m
Space left for fencing=250-3
=247m
Cost of fencing 247m=247*20
=Rs.4940
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Answered by
2
here, a=120m,
b=80m,
c=50m
and, s=
2
a+b+c
=
2
250
=125
Area she need to plant grass =
√s(s−a)(s−b)(s−c)
= 125(125−120)(125−80)(125−50)
=375
15
2m
cost of fencing =[(a+b+c)−3].20
=[250−3].20
=Rs4940
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