A triangular park has sides 100m, 100m and 160m. A gardener has to put a fence all around it and also plant grass inside. Find the cost of fencing it with barbed wire at the rate of rupees 10 per meter leaving a space 2m wide for a gate on one side and how much area does he need to plant?
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Answer:
Fencing rate=₹3,580
Area for planting=4800m^2
Step-by-step explanation:
Sides:
100m,100m and 160m
Perimeter= Sum of all sides
=100+100+160=360m
Space for fencing=360-2=358m
Rate of fencing per meter=₹10
Rate of fencing 358m=₹10×358
=₹3,580
Now, for planting grass,
Area of triangle=1/2×base×height
=1/2×160×60( calculate height by using
Pythagoras Theorem)
=4800m^2
So, the gardener needs to plant an area of 4800m^2.
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