A square has a side length of #3x# inches and an area of #324# #i n^2#. What is the value of #x#?

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Answer 1 · 2017-03-09T16:42:19

#x=6#

The formula for area of a square is:

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

From the given data, we write:

#324=(3x)^2#

Open the brackets and simplify.

#324=9x^2#

Divide both sides by #9#.

#324/9=x^2#

#36=x^2#

Find the square root by factoring.

#2*2*3*3=x^2#

#(2*3)^2=x^2#

#6^2=x^2#

#:.x=6#