# 15.(i)  Give possible expressions for the length and breadth of the following rectangle, in which its area is given:                    (i)         Aera:    $25a^2 - 35a + 12$

R Riya

We know that

Area of rectangle is =  $length \times breadth$

It is given that area  =  $25a^2-35a+12$

Now, by splitting middle term method

$\Rightarrow 25a^2-35a+12 = 25a^2-20a-15a+12$

$= 5a(5a-4)-3(5a-4)$

$= (5a-3)(5a-4)$
case (i) :-   Length = $(5a-4)$  and  Breadth = $(5a-3)$
case (ii) :-   Length = $(5a-3)$  and  Breadth = $(5a-4)$