Given Possible Expressions for the Length and Breadth of the Rectangle Having 35y2 + 13y – 12 as Its Area. - Mathematics

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Given possible expressions for the length and breadth of the rectangle having 35y2 + 13y – 12 as its area.

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Solution

Area = 35y2  +13y -12

Splitting the middle term,

Area = 35y2  + 28y -15y -12

= 7y (5y + 4) - 3(5y + 4)

Area = (5y + 4)(7 y - 3)

Also area of rectangle = Length x Breadth

∴ Possible length = (5y + 4) and breadth = (7y - 3)

Or Possible length = (7y - 3) and breadth = (5y + 4)

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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.1 [Page 9]

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RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.1 | Q 16 | Page 9

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