Question

What is the area of the model in the problem?

Answer 1

`A=x^2+12x+27\ units^2`

Explanation:

we know that

The area of the model is equal to the area of a rectangle

The area of a rectangle is equal to

`A=LW`

we have

`L=x+9\ units`

`W=x+3\ units`

substitute

`A=(x+9)(x+3)`

Apply distributive property

`A=x^2+3x+9x+27`

Combine like terms

`A=x^2+12x+27\ units^2`