Question

Ben has 6 square tiles. Each tile has a width of 8 inches. He lays the tiles down in a long row. What is the perimeter of the row of tiles? What is the area?

Answer 1

Perimeter: `2p = 112`

Area: `A = 384`

Explanation:

The row has the shape of a rectangle. This image should make it clear to you, even if the squares are only `4`, you can get the idea.

We can also see that the rectangle's height is the side of one square, while the length of the rectangle is `n` times the length of the square, where `n` is the number of squares you're aligning. In your case, `6`.

So, as a recap: we have a rectangle with height `l` and length `n*l`, where `l` is the length of the sides of the square, and `n` is the number of squares you're aligning.

We must plug `l=8` and `n=6` to get:

• Height: `l=8`
• Length: `n*l = 6*8 = 48`

So, the perimeter is

`2p = 8+48+8+48 = 112`

And the area is

`A = 8*48 = 384`