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Question
The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.
x2 – 7x + 10
Sum
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Solution
We have,
Area of rectangle = x2 – 7x + 10
= x2 – (5 + 2)x + 10
= x2 – 5x – 2x + 10
= x(x – 5) – 2(x – 5)
= (x – 5)(x – 2)
∴ The possible length and breadth are (x – 5) and (x – 2).
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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 236]
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