Question

An artist is using tiles and boards for a project. A tile has a length of 1/3 ft and a width of 1/3 ft. A board has a length of 1/2 yd and a width of 1/2 yd. What is the ratio of the length of the tile to the length of the board?

a) 1:2
b) 1:3
c) 2:1
d) 3:1

Answer 1

Step-by-step explanation:

3:1

Answer 2

The ratio of the length of the tile to the length of the board is 2:1.

Step-by-step explanation:

The ratio of the length of the tile to the length of the board can be found by comparing their respective measurements in feet. The length of the tile is 1/3 ft and the length of the board is 1/2 yd. To compare them, we can convert the length of the board from yards to feet. We know that 1 yd is equal to 3 ft. So 1/2 yd is equal to (1/2) * 3 ft = 3/2 ft. Therefore, the ratio of the length of the tile to the length of the board is 1/3 ft : 3/2 ft. Simplifying this ratio, we get 2:9. Therefore, the correct answer is c) 2:1.