A triangular park has sides 120m, 80m and 50m. A gardener has to
put a fence all around it and also plant grass inside. How much area
does she need to plant? Find the cost of fencing it with barbed wire
at the rate of Rs.20 per meter, leaving a space of 3m wide for a gate
on one side.
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Answer:
Area to be planted
Cost of the fencing = Rs.4940
Step-by-step explanation:
Given : A triangular park has side 120m ,80m, 50m.
Barbed wire at rate of Rs.20 per meter.
To find : The area of park he need to plant and the cost of fencing leaving a space of 3m wide for a gate on 1 side.
Solution : First we the area by Heron's formula,
Where s is
a= 120m, b=80m, c=50m
Substitute the value,
Now, The area to be planted is
Length of the fenced = Perimeter- space for the gate
Perimeter= a+b+c= 120+80+50=250
Space for the gate is = 3m
Length of the fenced = 250-3 = 247 m
Cost of the fencing = Length of the fence × Wire rate
Cost of the fencing = 247 × 20 = Rs.4940
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