Question

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Answer 1

Answer:

$x^2+8x+12$

Step-by-step explanation:

The area of a rectangle formula is length times width.

The length of this rectangle is $(x+2)$, and the width of this rectangle is $(x+6)$

Thus, the area of the rectangle is $(x+6)(x+2)$. This can be expanded using FOIL.

First $x(x)=x^2$

Outer $x(2)=2x$

Inner $6(x)=6x$

Last $6(2)=12$

The two x terms combine, making 8x, and the answer is $x^2+8x+12$