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Question

What will be the cost of wire required for fencing a triangular plot of land with sides 30 m, 20 m and 25 m with 4 rounds of wire that cost Rs 2.50 per metre?

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Solution

The lengths of sides of the triangular plot are 30 m, 20 m and 25 m.
In this problem, we have to first find the length of the wire required that will be equal to the perimeter of triangular plot.
Perimeter of triangular plot = sum of all sides
= 30 m + 20 m + 25 m
= 75 m
The length of wire required to fence the triangular plot with four rounds = 4 × perimeter of triangular plot
= (4 × 75) m
= 300 m
Cost of 1 m wire = Rs 2.50
So, cost of 300 m of wire = 300 × cost of 1 m wire
= 300 × Rs 2.50
= Rs 750
Hence, cost of wire required in fencing the triangular plot with 4 rounds of wire = Rs 750

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