Question

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?

Answer 1

H. 99 ft²

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.