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Find the area of the square field if its perimeter is equal to the perimeter of the rectangular garden of length and breadth 14 m and 4 m respectively.
1. 81 m2
2. 121 m2
3. 100 m2
4. 169 m2

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Correct Answer - Option 1 : 81 m2

Given:

Length and breadth of rectangular garden is 14 m and 4 m respectively.

Perimeter of square field = Perimeter of rectangular garden 

Formula Used:

Area of square = (Side)2

Perimeter of square = 4 × Side

Perimeter of rectangle = 2 × (Length + Breadth)

Calculation:

Perimeter of rectangular garden = 2 × (14 + 4) = 36 m

So, the perimeter of a square field = 36 m

And, 4 × Side = 36 m

⇒ Side = 36/4 = 9 m

Now, Area of square field = (Side)2 = (9)2 = 81 m2

∴ The area of the square field is 81 m2.

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