Final answer:
The area of the rectangle with a length of 2√8 units and a width of √8 units is 16 square units.
Step-by-step explanation:
Given that the length of the rectangle is 2√8 units and the width is √8 units, we can find the area by multiplying the length and the width.
The area of a rectangle is given by the formula: Area = length x width.
Plugging in the given values, we have: Area = (2√8 units) x (√8 units).
Using the property that √a x √b = √(a x b), we simplify the expression to: Area = 2 x (√8)^2.
Since √8 = 2√2, we can substitute this back into the equation: Area = 2 x (2√2)^2.
Finally, simplifying the expression further, we get: Area = 2 x 4 x 2 = 16 square units.
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