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A farmer has a rectangular field of length and breadth 240 m and 180 m respectively. He wants to fence it with 3 rounds of rope as shown in figure 10.4. What is the total length of rope he must use? -

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Question

A farmer has a rectangular field of length and breadth 240 m and 180 m respectively. He wants to fence it with 3 rounds of rope as shown in the figure. What is the total length of rope he must use?

Sum

Solution

The farmer has to cover three times the perimeter of that field.

Therefore, the total length of rope required is thrice its perimeter.

Perimeter of the field = 2 × (length + breadth)

= 2 × ( 240 m + 180 m)

= 2 × 420 m

= 840 m

Total length of rope required = 3 × 840 m = 2520 m.

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