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Q.

What will be the length of fencing wire required to border twice the rectangular playground with dimensions 10m×20m twice?

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a

120m

b

200m

c

60m

d

400m

answer is A.

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Detailed Solution

Given:

A rectangular playground is given to us with dimensions: 10m×20m

To find the length of fencing wire which will be required for the ground if the wire required is twice the boundary of the ground.

Now, we know that the perimeter of the rectangle is found by the following expression:

P=2(length+breadth)

Now, substituting the dimensions of the ground, we get:

P=2(10+20)  m

Simplifying this, we get:

P=2(30)  m

P=60  m

Thus, the boundary of the park is 60m long

The fencing wire required for the given park, x is:

x=2×60

Simplifying this, we get:

x=120m

Thus, the length of wire required is 120m

Hence option A is correct

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