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If the perimeter of a square is 40 , find the area of the square.

If the perimeter of a square is 4040 , find the area of the square.

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Full solution

Q. If the perimeter of a square is 4040 , find the area of the square.
  1. Perimeter Calculation: The perimeter of a square is the sum of all its sides, which are equal in length. Since a square has 44 sides, we divide the perimeter by 44 to find the length of one side.\newlinePerimeter = 4×side length4 \times \text{side length}\newline40=4×side length40 = 4 \times \text{side length}\newlineside length=404\text{side length} = \frac{40}{4}\newlineside length=10\text{side length} = 10
  2. Side Length Calculation: Now, to find the area of the square, we square the length of one side.\newlineArea = side length×side length\text{side length} \times \text{side length}\newlineArea = 10×1010 \times 10\newlineArea = 100100

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