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# Give possible expressions for the length and breadth of the following rectangle, in which its area is given: (ii) Aera : 35y ^2 + 13y - 12

15.(ii)  Give possible expressions for the length and breadth of the following rectangle, in which its area is given:

(ii)

 Area:    $35y^2 + 13y- 12$
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We know that

Area of rectangle is =  $length \times breadth$

It is given that area  =  $35y^2 + 13y- 12$

Now, by splitting the middle term method

$\Rightarrow 35y^2 + 13y- 12 =35y^2+28y-15y-12$

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

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

case (i) :-   Length = $(5y+4)$  and  Breadth = $(7y-3)$

case (ii) :-   Length = $(7y-3)$  and  Breadth = $(5y+4)$

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