Question

hi I am trying to figure out Which expression represents the area given the side lengths?

Answer 1

The area of a rectangle is calculated using the formula:

$A=lw$

where l and w are the side lengths.

From the image, we have the following side lengths:

$\begin{gathered} l=x^{14} \\ w=x^7 \end{gathered}$

Therefore, the area of the rectangle will be:

$A=x^{14}\times x^7$

Applying the exponent rule:

$a^b\cdot \:a^c=a^{b+c}$

Therefore, the area will be:

$\begin{gathered} A=x^{14+7} \\ A=x^{21} \end{gathered}$

The SECOND OPTION is correct.