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Question
The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.
x2 + 9x + 20
Solution
We have,
Area of rectangle = x2 + 9x + 20
= x2 + (5 + 4)x + 20
= x2 + 5x + 4x + 20
= x(x + 5) + 4(x + 5)
= (x + 5)(x + 4)
∴ The possible length and breadth are (x + 5) and (x + 4).
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