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Edward Nigma is installing square tiles in his bathroom. The blueprint above is a scaled drawing of the tile pattern to be used. If the total area of the shaded region is 22 ft^2, what is the total floor area of the bathroom?

Edward Nigma is installing square tiles in his bathroom The blueprint above is a scaled drawing of the tile pattern to be used If the total area of the shaded r class=

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sqdancefan

Answer:

  H.  99 ft²

Step-by-step explanation:

Area is proportional to the number of tiles.

Proportion

The total area of the bathroom is 6×9 = 54 tiles. Of these, 12 are shaded. The proportion can be written as ...

  total area / shaded area = total tiles / shaded tiles

  total area / (22 ft²) = 54/12 . . . . . use given numbers

  total area = (22 ft²)×(54/12) = 99 ft² . . . . . multiply by 22 ft²

The total floor area of the bathroom is 99 square feet.

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