ACT Math · Area and volume

A rectangular plot of land measures 24 feet by 18 feet. What is its area in square yards? (1 yard = 3 feet)

A rectangular plot of land measures 24 feet by 18 feet. What is its area in square yards? (1 yard = 3 feet)

Answer and explanation

Answer: H: 48

First find the area in square feet: 24⋅18=43224\cdot18=432. One yard is 33 feet, so one square yard is 3⋅3=93\cdot3=9 square feet. Divide: 4329=48\frac{432}{9}=48 square yards, choice H. You can also convert each side first: 88 yards by 66 yards is 4848. Choice J (432432) leaves the answer in square feet. Choice G (3636) divides by 1212, as if converting feet to inches. Choice F (1616) divides by 2727, the number of cubic feet in a cubic yard, which applies to volume and not to area. Area conversions use the square of the length conversion factor.

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