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A rectangular floor measures 18 feet by 12 feet. Cabinets cover 36 square feet. What area must be tiled?

72 square feet

180 square feet

The area to tile comes from subtracting what’s covered by cabinets from the total floor area. For a rectangle, area equals length times width, so the floor area is 18 × 12 = 216 square feet. Cabinets cover 36 square feet, leaving 216 − 36 = 180 square feet to tile. You can also see this as five-sixths of the floor: (5/6) × 216 = 180. The other numbers would come from forgetting to subtract or subtracting the wrong amount, but the correct tiled area is 180 square feet.

120 square feet

216 square feet

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