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Question

Puja is the owner of a farm as shown in the figure. She goes to the market to buy the fence wire for the field. Calculate the minimum length of the wire to be bought by Puja so that the entire farm is covered. (All dimensions are in m)


A

55

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B

70

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C

60

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D

45

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Solution

The correct option is B

70


To find out the minimum length of the wire to be bought by Puja so that the entire farm is covered, we have to find out the perimeter of the entire farm.

From the above figure, the length of the side AF = (Length of side BC) - (Length of side ED) = 20 - 5 = 15 m
Length of side AB = (Length of side DC + Length of side FE) = 5 + 10 = 15 m

As we know, the perimeter of a plane figure is the length of its boundary.

Perimeter of the farm = 15 + 20 + 5 + 5 + 10 + 15 = 70 m

So, the minimum length of the wire to be bought by Puja is 70 m.


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