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question 17 (1 point) the area of a rectangle with length 2\sqrt{2} units and width \sqrt{2} units is 4 square units. true false
Step1: Recall area formula
The area formula of a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width.
Step2: Substitute values
Given $l = 2\sqrt{2}$ and $w=\sqrt{2}$, then $A=2\sqrt{2}\times\sqrt{2}$.
Step3: Simplify the product
Using the property $\sqrt{a}\times\sqrt{a}=a$, we have $2\sqrt{2}\times\sqrt{2}=2\times2 = 4$ square - units.
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True