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Give Possible Expressions for the Length and Breadth of the Following Rectangle, in Which Their Areas Are Given - CBSE Class 9 - Mathematics

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Question

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

Area : 25a2 – 35a + 12

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.

25a– 3512 25a2 – 15− 2012

                        = 5a(5– 3– 4(5– 3)

                        = (5– 4)(5– 3)

Possible expression for length = 5a – 4

Possible expression for breadth = 5a – 3

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Solution Give Possible Expressions for the Length and Breadth of the Following Rectangle, in Which Their Areas Are Given Concept: Algebraic Identities.
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