Question

Give possible expression for the length and breadth of the rectangle whose area is : $25a^2-35a+12$

• A. $(5a+2)(5a-3)$
• B. $(5a-3)(5a-4)$
• C. $(5a-1)(5a-2)$
• D. None

Answer 1

The correct option is B $(5a-3)(5a-4)$

Given area of rectangle is $25a^2-35a+12$

Let length and breadth is $l$ and $b$

then area of rectangle $=lb=$ $25a^2-35a+12$

$=25a^2-20a-15a+12$

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

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

So, length $=(5a-3)$

And breadth $=(5a-4)$.