Question

find the area. simplify your answer.

Explanation:

Step1: Recall area formula for parallelogram

The area formula for a parallelogram is $A = base\times height$.

Step2: Identify base and height

Here, the base is $x + 2$ and the height is $x+3$.

Step3: Calculate the area

$A=(x + 2)(x + 3)$
Using the FOIL method:
$A=x\times x+x\times3+2\times x + 2\times3$
$A=x^{2}+3x+2x + 6$
$A=x^{2}+5x + 6$

Answer:

$x^{2}+5x + 6$