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Question
The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.
x2 + 19x – 20
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Solution
We have,
Area of rectangle = x2 + 19x – 20
= x2 + (20 – 1)x – 20
= x2 + 20x – x – 20
= x(x + 20) – 1(x + 20)
= (x + 20)(x – 1)
∴ The possible length and breadth are (x + 20) and (x – 1).
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