Question

The area of a rectangle is x2 + 7x + 12. If its breadth is (x+3), then find its length.

Answer 1

length= area/breadth
= x^2+7x+12/X+3
=X+4 Ans

Answer 2

area of rectangle is equal to length into breadth.

$x { }^{2} + 7x + 12 = (x + 3) \times b$
$x {}^{2} + 7x + 12 = x + 3$
$x {}^{2} + 7x - x12 - 3 = b$
$x {}^{2} + 6x + 9 = b$
by splitting method

$x {}^{2} + 3x + 3x + 9 = b$
$x(x + 3)3(x + 3) = b$
$(x + 3)(x + 3)$
$x = - 3$
hands length is equal to -3