Final answer:
The area of the rectangle with given dimensions 2(5/6) mm by 1(2/7) mm is approximately 3(1/2) mm^2.
Step-by-step explanation:
The area of a rectangle is calculated by the formula: Area = Length x Width. In your case, the length of the rectangle is 2(5/6) mm, and the width is 1(2/7) mm.
First, convert these mixed numbers to improper fractions. 2(5/6) becomes 17/6 and 1(2/7) becomes 9/7. Multiply these fractions together to get the area. The area is (17/6) * (9/7)= 153/42 mm^2.
This simplifies to approximately 3(21/42) mm^2 or in simplified form 3(1/2) mm^2.
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