Question: The area of a rectangle is x² + 12xy + 27y² and its length is (x + 9y). Find the breadth of the rectangle.
(A) (X+2y)
(B) (X+5y)
(C) (X+3y)
(D) (x-5y)
Solution
Area / Length
= (x² + 12xy + 27y²) / (x + 9y)
= x(x + 9y) + 3y(x + 9y) / (x + 9y)
= (x + 3y) (x + 9y) / (x + 9y)
= (x + 3y)
Hence, the breadth of the rectangle is (x + 3y)
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