Question

If 3x2 - 4x – 4 represents the area of a rectangle , what are the length and the breadth?

Answer 1

Answer:

Step-by-step explanation:

The area of the rectangle is= 3x^2-4x-4

Now we have to find the length and the breadth of the rectangle

So we have to factories 3x^2-4x-4

Factorizing, we get,

3x^2 -4x-4

=3x^2-6x+2x-4

= 3x(x-2) +2(x-2)

=(x-2) (3x+2)

So, 3x^2-4x-4 = (3x+2) (x-2)

Now, we know area =length ×breadth

Therefore length of the rectangle is = 3x+2

And the breadth of the rectangle is= x-2