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Question

A square shape of the park of area23,104m2 is to be enclosed with wire placed at heights 1,2,3,4m above the ground. Find the required length of the wire, if its length required for each circuit is 10% greater than the perimeter of the field.


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Solution

Step 1. Find side of square

We have given that area of square 23104m2

Area of square =side2

side2=23104side=23104Side=152

So, the side of the square is 152m

Step 2. Now find the perimeter of the square:

The perimeter of the square =4×side

=4×152=608m

its length required for each circuit is 10% greater than the perimeter of the field.

So the length required is

:=608×110100=608×1110=668.8m

Step 4. Now find the total length:

The wire goes around 4times, so the total length of the wire required:

=4×668.8=2675.2

Hence, the required length is 2675.2m.


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