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Question
The area of a square is given by 4x2 + 12xy + 9y2. Find the side of the square.
Solution
We have,
Area of square = 4x2 + 12xy + 9y2
So, we factorise the given expression.
∴ 4x2 + 12xy + 9y2 = (2x)2 + 2 × 2x × 3y + (3y)2 ...[∵ a2 + 2ab + b2 = (a + b)2]
= (2x + 3y)2
Since, area of a square having side length a is a2.
Hence, side of the given square is 2x + 3y.
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