What is the area of the square whose side is #2sqrt(2)#?

Question

1987 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-19T00:41:53

#8# units squared

We know we're dealing with a square, so our length and our width is #2sqrt2#. To find the area, we can square this.

#(2sqrt2)^2#

#=>2^2*(sqrt2)^2# (square root cancels with power of #2#)

#=>4*2=8#

Our area is #8# units squared.

Answer 2 · 2018-03-19T00:43:29

8 units squared

The area of a square is its length times width (both dimensions are the same) or length/width squared.

#2sqrt2*2sqrt2#

#4*sqrt4 rarr# #sqrt4# has two possible answers: -2, 2

#4*2# or #4*-2#

#8# or #-8 rarr# Area cannot be negative, so disregard this answer

The area would be 8 units squared.