ACT Math · Area and volume

A room measures 15 feet by 12 feet. What is its area in square inches? (1 foot = 12 inches)

A room measures 15 feet by 12 feet. What is its area in square inches? (1 foot = 12 inches)

Answer and explanation

Answer: D: 25,920

First find the area in square feet: 15⋅12=18015\cdot12=180. One foot is 1212 inches, so one square foot is 12⋅12=14412\cdot12=144 square inches. Then 180⋅144=25,920180\cdot144=25{,}920 square inches, choice D. You can also convert each side first: 180180 inches by 144144 inches gives 25,92025{,}920. Choice A (180180) leaves the answer in square feet. Choice B (1,6201{,}620) multiplies by 99, the square-feet-to-square-yards factor. Choice C (21,60021{,}600) multiplies by 120120 instead of 144144. Area conversions use the square of the length conversion factor.

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