Question

The area of a rectangle is given by the expression x2 + 5x + 4. If the length of one side is given by x + 2, what is the length of the other side?

Answer 1

If I'm understanding correctly, then...

(X^2+5x+4)/(x+2)=the length of the other side
Length= x+3+((-3)/(x+2))

Answer 2

Answer:

The length of the other side is $b=\frac{(x+4)(x+1)}{x+2}$

Step-by-step explanation:

Given : The area of a rectangle is given by the expression $x^2 + 5x + 4$. If the length of one side is given by x+2.

To find : What is the length of the other side?      

Solution :

The formula of area of rectangle is

$A=length\times breadth$

Where, $A=x^2 + 5x + 4$

and one side length is $l=x+2$

We have to fond other side i.e. breadth b

Substitute in the formula,

$x^2 + 5x + 4=x+2\times b$

$b=\frac{x^2 + 5x + 4}{x+2}$

$b=\frac{x^2+4x+x + 4}{x+2}$

$b=\frac{(x+4)(x+1)}{x+2}$

Therefore, The length of the other side is $b=\frac{(x+4)(x+1)}{x+2}$