Question

The area of the rectangle as a single expression

Answer 1

Answer:
`A=15x^2+6x-48`

Explanation:

The area of a rectangle can be calculated with this formula:

`A=l*w`

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:

`length=3(x+2)\\width=5x-8`

Then, you need to substitute this lenght and this width into
`A=l*w`:

`A=3(x+2)(5x-8)`

Now, apply Distributive property:

`A=(3x+6)(5x-8)\\\\A=15x^2-24x+30x-48`

Finally, you need to add the like terms. Then, you get:

`A=15x^2+6x-48`