Question

The area of a rectangle is x^2-5x+6 Which of the following could be one of the dimensions?

A)(x + 3)
B)(x - 2)
C)(x - 1)
D)(x + 6)

Answer 1

x-2

Explanation:

Answer 2

B)(x - 2)

Explanation:

Given that the area of a rectangle is
`x^2-5x+6`.

Now we need to find about which of the given choices could be one of the dimensions. Where given choices are:

A)(x + 3)

B)(x - 2)

C)(x - 1)

D)(x + 6)

We know that area of rectangle = (length) x (width)

So basically we need to factor the given area of rectangle to find the corresponding dimensions.

`x^2-5x+6`

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

`=(x-2)(x-3)`

Hence B)(x - 2) is the correct choice.