Question

SECTION C
(2)
The area of a rectangle is x2+ 7x +12. If its breadth is x + 3, then find its
length.
(3)​

Answer 1

Answer:

area of rectangle is equal to length into breadth.

x { }^{2} + 7x + 12 = (x + 3) \times bx2+7x+12=(x+3)×b

x {}^{2} + 7x + 12 = x + 3x2+7x+12=x+3

x {}^{2} + 7x - x12 - 3 = bx2+7x−x12−3=b

x {}^{2} + 6x + 9 = bx2+6x+9=b

by splitting method

x {}^{2} + 3x + 3x + 9 = bx2+3x+3x+9=b

x(x + 3)3(x + 3) = bx(x+3)3(x+3)=b

(x + 3)(x + 3)(x+3)(x+3)

x = - 3x=−3

hands length is equal to -3