PLZ HELP ASAP

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

ft and width one-fourth

ft. A board has length one-sixth yd

and width one-sixth 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?

Ratio of the length of the tile to the length of the board is 1:2

Ratio of the area of the tile to the area of the board is 1:4

Step-by-step explanation:

Length of the tile = 1/4 ft

Length of the board = 1/6 yd = 1/6 × 3 = 1/2 ft (∵ 1 yd = 3ft)

∴ Ratio of length of the tile to length of the board = 1/4 : 1/2 = 1/4 × 2/1 = 1:2

Area of the tile = Length × Width = 1/4 ft × 1/4 ft = 1/16 ft²

Area of the board = Length × Width = 1/6 yd × 1/6 yd  

                                                           = 1/2 ft × 1/2 ft (∵ 1 yd = 3 ft)

                                                           = 1/4 ft²

⇒ Ratio of the area of the tile to the area of the board = 1/16 : 1/4

                                                                                          = 1/16 × 4/1 = 1:4

correct answer is b. 27/8

step-by-step explanation: