Final answer:
The area of the rectangle is 14/45 square dm.
Step-by-step explanation:
To find the area of a rectangle, multiply its length by its width. In this case, the length of the rectangle is 2(1/9) dm and the width is 2(7/10) dm. Using the distributive property, we can calculate the area as:
(2 * 1/9) * (2 * 7/10) = (2/9) * (14/10) = 28/90 = (14/45).
Therefore, the area of the rectangle is 14/45 square dm.
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