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Give Possible Expressions for the Length and Breadth of the Following Rectangle, in Which Their Areas Are Given - Mathematics

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Give possible expressions for the length and breadth of the following rectangle, in which their areas are given:-

Area : 35y2 + 13y –12

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

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Solution

Area = Length × Breadth

The expression given for the area of the rectangle has to be factorised. One of its factors will be its length and the other will be its breadth.

35y2 13– 12 35y2 – 1528– 12

                         = 5y(7– 34(7– 3)

                         = (54)(7– 3)

Possible expression for length = (5y + 4)

Possible expression for breadth = (7y – 3)

Concept: Algebraic Identities
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APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.5 | Q 15.2 | Page 49

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