Question

find the area. simplify your answer. (figure: parallelogram with base ( x ), height ( x+1 ), right - angle symbol between base and height)

Explanation:

Step1: Recall area formula for parallelogram

The area \( A \) of a parallelogram is given by the formula \( A=\text{base}\times\text{height} \). Here, the base is \( x \) and the height is \( x + 1 \).

Step2: Multiply base and height

Using the distributive property (also known as the FOIL method for binomials), we multiply \( x \) and \( x + 1 \):
\( A=x\times(x + 1)=x\times x+x\times1=x^{2}+x \)

Answer:

The area of the parallelogram is \( x^{2}+x \) square units.