The area of a square is #40# #i n ^2#. If the length of each side of the square is #2x# #i n#, what is the value of #x#?

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Answer 1 · 2017-03-09T16:53:26

#x=sqrt10#

The formula for the area of a square is:

#A=a^2#, where #A=#area, and #a=#length of any side.

Using the given data, we write:

#40=(2x)^2#

#40=4x^2#

Divide both sides by #4#.

#40/4=x^2#

#10=x^2#

#x=sqrt10#