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  • Give possible expressions for the length and breadth of the rectangle whose area is given by 4a^{2}+4a-3

Give possible expressions for the length and breadth of the rectangle whose area is given by 4a^{2}+4a-3

Answers (1)

Length (2a+3)

Breadth (2a-1)

            Or

Length = (2a-1)

Breadth =(2a+3)

Solution:

Given : Area of rectangle is 4a2+4a-3    …..(1)

Factorize equation 1, we get

=4a2+6a-2a-3

=2a(2a+3)-1(2a+3)

=(2a+3)(2a-1)

We know that area of rectangle is length × breadth

Hence

Length (2a+3)

Breadth (2a-1)

            Or

Length = (2a-1)

Breadth =(2a+3)

 

Posted by

infoexpert24

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