PLZ HELP ASAP An artist is using tiles and boards for a project. A tile has length one-fourth ft and width one-

Question

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?

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Everleigh 2 weeks 2021-09-12T15:06:42+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T15:08:07+00:00

    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:

    • Step 1: Find ratio of length of the tile to the length of the board

    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

    • Step 2: Find the ratio of area of the tile to area of the board

    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

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