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If the original rectangle measures 3 ft. by 2 ft, the area can be found by multiplying the length and width: x = 3 ft * 2 ft = 6 ft^2.
The dilated rectangle measures 7.5 ft. by 5 ft, so its area can be found by multiplying the length and width: 7.5 ft * 5 ft = 37.5 ft^2.
Therefore, the expression that can be used to discover the area of the dilated rectangle is x(2.5)^2.