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 One-half foot by One-half foot and costs $0.45 per tile. The rectangular tile is 2 feet by One-fourth foot and costs $0.80 per tile.

b. She should choose the rectangular tiles because the total cost will be $8 less.

Step-by-step explanation:

Which tile should Orchid choose to minimize costs? Explain.

a. She should choose the square tiles because the total cost will be $8 less.

b. She should choose the rectangular tiles because the total cost will be $8 less.

c. She should choose the square tiles because the total cost will be $14 less.

d. She should choose the rectangular tiles because the total cost will be $14 less.

Area of a square tile = 1/2 × 1/2

= 1/4

= 0.25 square feet

Area of rectangular tile = 2 × 1/4

= 2/4

= 0.5 square feet

Number of square tile needed = Area of the bathroom floor / Area of the square tile

= 40 square feet / 0.25 square feet

= 160

Number of square tile needed = 160

Cost of square tile needed = number of tiles × cost per tile

= 160 × $0.45

= $72

Cost of square tile needed = $72

Number of rectangular tile needed = Area of the bathroom floor / Area of the rectangular tile

= 40 square feet / 0.5 square feet

= 80

Number of rectangular tile needed = 80

Cost of rectangular tile needed = number of tiles × cost per tile

= 80 × $0.80

= $64

Cost of rectangular tile needed = $64

Cost of square tile needed = $72

Cost of rectangular tile needed = $64

B

Step-by-step explanation:

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step-by-step explanation:

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