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.
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.
She should choose the rectangular tiles since it's $8 lesser.
From the information given, the number of tiles needed for the bathroom will be determined.
In this case, the square tiles will be:
= 40/(0.5 × 0.5)
= 160 tiles
Cost = 160 × $0.45 = $72
The rectangular tiles will be:
= 40/(2 × 0.25) = 80
Cost = 80 × $0.8 = $65
The rectangular tiles are cheaper.
Learn more about rectangles on:
brainly.com/question/25292087
#SPJ5