Question

give possible expressions for the length and breadth of the rectangle whose area is given by x2- 5x+6 please answer my question I will mark you as brainliest​

Answer 1

Step-by-step explanation:

GIVEN THAT :

Area of the rectangle = x² - 5x + 6

TO FIND :

Dimensions of the rectangle

SOLUTION :

Factorising the given polynomial -

x² - 5x + 6

=> x² - 3x - 2x + 6

=> x ( x - 3 ) - 2 ( x - 3 )

=> ( x - 2 ) ( x - 3 )

ANSWER :

The possible expressions for the length and breadth of the rectangle is :

( x - 2 ) and ( x - 3 ) units

_____________________________

Be Brainly

Answer 2

The possible expressions for the length and breadth of the rectangle are (x- 2) and (x-3).

Step-by-step explanation:

The area of a rectangle is

$Area=length\times width$

It is given that area of a rectangle is

$A=x^2- 5x+6$

Find the factor form of the above expression.

By splitting the middle term we get

$A=x^2- 2x-3x+6$

$A=x(x- 2)-3(x-2)$

$A=(x- 2)(x-3)$

Therefore, the possible expressions for the length and breadth of the rectangle are (x- 2) and (x-3).

#Learn more

Area of rectangle?

https://brainly.in/question/11884411

Factorize this expression

https://brainly.in/question/2767334