Final answer:
The length of the diagonal of the rectangle is 2 multiplied by the square root of 2, or 2*sqrt(2).
Step-by-step explanation:
A rectangle made up of six squares is a common shape called a 2x3 rectangle. If the diagonal of one square is 2, we can find the length of the diagonal of the rectangle using the Pythagorean theorem. Let's label the sides of the rectangle as 'a' and 'b'. The diagonal of the rectangle, which is also the hypotenuse of a right triangle, can be found using the equation d = sqrt(a^2 + b^2).
In this case, since the rectangle is made up of squares, the sides 'a' and 'b' are equal to the diagonal of one square, which is 2. Substituting these values into the formula, we have d = sqrt(2^2 + 2^2) = sqrt(8) = 2*sqrt(2).
Therefore, the length of the diagonal of the rectangle is 2 multiplied by the square root of 2, or 2*sqrt(2).
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