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Question
The perimeter of a square is numerically equal to its area. Find its area.
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Solution
Let each side of the square be x cm.
Its perimeter = 4x,
Area = x2
By the given condition 4x = x2
=> x2 – 4x = 0
=> x (x – 4) = 0
=> x = 4 [x ≠ 0]
Area = x2 = (4)2 = 4 x 4 = 16 sq.units.
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