Question

The sides of a rectangle have length x+ 2 and width x -5. Which equation describes the area, A, of the rectangle in terms of x?​

Answer 1

The area in factored form is
`A=(x+2)(x-5)`.

The area in standard form is
`A=x^2-3x-10`.

Explanation:

The area of a rectangle is length times width.

So the area here is (x+2)(x-5).

They are probably not looking for A=(x+2)(x-5) because it requires too little work.

They probably want A in standard form instead of factored form.

Let's use foil:

First x(x)=x^2

Outer: x(-5)=-5x

Inner: 2(x)=2x

Last: 2(-5)=-10

---------------------Adding together:
`x^2-3x-10`.

The area in factored form is
`A=(x+2)(x-5)`.

The area in standard form is
`A=x^2-3x-10`.