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Sammy has a rectangular doormat on her porch. The mat is \dfrac45\text{ m} 5 4 ​ mstart fraction, 4, divided by, 5, end fraction, start text, space, m, end text long and \dfrac12\text{ m} 2 1 ​ mstart fraction, 1, divided by, 2, end fraction, start text, space, m, end text wide. What is the area of the doormat?