An artist is using tiles and boards for a project. A tile has length two thirds 2 3 ft and width two thirds2 /3 ft. A board has length one half yd 1 /2 yd

Question

An artist is using tiles and boards for a project. A tile has length

two thirds23

ft and width

two thirds2/3

ft. A board has length

one half yd1/2 yd

and width

one half yd1/2 yd.

What is the ratio of the length of the tile to the length of the​ board? What is the ratio of the area of the tile to the area of the​ board?

The ratio of the length of the tile to the length of the board is

nothing.

Answer 1

The ratio of lengths of their sides is:

2/3 divided by 1/2 = 2/3 * 2/1 = 4/3 so 4 to 3 ratio

Their areas are:

2/3 * 2/3 = 4/9

and

1/2 * 1/2 = 1/4

4/9 divided by 1/4 = 4/9 * 4/1 = 16/9 so 16 to 9 ratio