Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is deciding between two types of custom tiles. The square tile is 1/2 foot by 1/2 foot and costs $0.45 per tile. The rectangular tile is 2 feet by 1/4 foot and costs $0.80 per tile. Which tile should Orchid choose to minimize costs? Explain. She should choose the square tiles because the total cost will be $8 less. She should choose the rectangular tiles because the total cost will be $8 less. She should choose the square tiles because the total cost will be $14 less. She should choose the rectangular tiles because the total cost will be $14 less.

Question

Jillian Wright

Mathematics

6 November, 19:34

Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is deciding between two types of custom tiles. The square tile is 1/2 foot by 1/2 foot and costs $0.45 per tile. The rectangular tile is 2 feet by 1/4 foot and costs $0.80 per tile. Which tile should Orchid choose to minimize costs? Explain. She should choose the square tiles because the total cost will be $8 less. She should choose the rectangular tiles because the total cost will be $8 less. She should choose the square tiles because the total cost will be $14 less. She should choose the rectangular tiles because the total cost will be $14 less.

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Spirit · Answer 1

We determine the number tiles needed for the bathroom floor by dividing the area of the floor by the area of tiles.

square tiles = (40 ft²) / ((0.5 ft) (0.5 ft)) = 160 tiles

(160 tiles) ($0.45) = $72

rectangular tiles = (40 ft²) / ((2 ft) (0.25 ft)) = 80 tiles

(80 tiles) ($0.80) = $64

She should choose the rectangular tiles because it will cost her $8 lesser.