Answer: [tex]A=15x^2+6x-48[/tex]
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:
[tex]A=l*w[/tex]
Where "l" is the length and "w" is the width.
You can identify from the figure that the length and the width of this rectangle are:
[tex]length=3(x+2)\\width=5x-8[/tex]
Then, you need to substitute this lenght and this width into [tex]A=l*w[/tex]:
[tex]A=3(x+2)(5x-8)[/tex]
Now, apply Distributive property:
[tex]A=(3x+6)(5x-8)\\\\A=15x^2-24x+30x-48[/tex]
Finally, you need to add the like terms. Then, you get:
[tex]A=15x^2+6x-48[/tex]
