ACT Math · Area and volume

A room measures 12 feet by 15 feet. If flooring costs $3.50 per square foot, what is the total cost to floor the room?

A room measures 12 feet by 15 feet. If flooring costs $3.50 per square foot, what is the total cost to floor the room?

Answer and explanation

Answer: D: $630.00

The area of the room is 12⋅15=18012\cdot15=180 square feet. At $3.50 per square foot, the cost is 180⋅3.50=630180\cdot3.50=630 dollars, choice D. You can compute it in parts: 180⋅3=540180\cdot3=540 and 180⋅0.5=90180\cdot0.5=90, and 540+90=630540+90=630. Choice C ($472.50) is 135⋅3.50135\cdot3.50, which uses the wrong area. Choice B ($189) is 54⋅3.5054\cdot3.50. Choice A ($94.50) is 27⋅3.5027\cdot3.50, using the sum of the sides, 12+1512+15, as if it were the area. Cost is based on area, so multiply the two dimensions first.

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