Answer:
[tex]A(x)=2x^3+16x^2+30x[/tex]
Step-by-step explanation:
we know that
The area of rectangle is equal to
[tex]A=bh[/tex]
where
b is the base of rectangle or width
h is the height of rectangle
we have
[tex]b=(x^2+8x+15)\ units\\h=2x\ units[/tex]
substitute the values
[tex]A(x)=(x^2+8x+15)(2x)\\\\A(x)=(2x^3+16x^2+30x)\ units^2[/tex]