Question

Let’s say that you have a square garden in your backyard. One side of the garden has a length of x + 4. Can you give an expression that we could use to represent the area of the garden?

Answer 1

`A=(x+4)^2\text{ or } A=x^2+8x+16`

Explanation:

We have a square garden. One side of the garden has a length of (x + 4).

And we want to write an expression that could represent the area of the garden.

Remember that for a square, all sides have equivalent lengths. So, every side measures (x + 4). The area of a square is given by:

`A=s^2`

Where s is the length of one side.

Substitute:

`A=(x+4)^2`

Expand if desired. Hence, the expression for the area is:

`A=x^2+8x+16`