Question

If the area of the rectangle is 4x^2 +4x -3 then find the possible expression for the length and breadth

Answer 1

Answer :

We have,

The area of the rectangle is ${\sf{{(4x)}^{2}}}$ + 4x - 3

To do,

• Find the possible expression for the length and breadth.

Solution :

Firstly,

• Solve the given area using middle term spliting method

= ${\sf{{(4x)}^{2}}}$ + 4x - 3

= ${\sf{{(4x)}^{2}}}$ + 6x - 2x - 3

= 2x( 2x + 3 ) - (2x + 3)

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

Thus,

• The possible expression for the length and breadth is :-

Length = (2x + 3)

Breadth = (2x - 1)

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