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)* 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.