# The area of a square is represented by `36x^2` . What is the expression for the length of each side of the square??

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Expert Answers

tjbrewer | Certified Educator

A square is a parallelogram which is both a rhombus and a rectangle. Because a Square is a rectangle it's area is found by the formula `A=bxxh` Because a Square is a Rhombus, each of its sides is the same length, so `b=h=l` and the Area of a Square is `A=l^2`

Since we know that `A=36x^2` finding the length of each side is as simple as finding the square root of A, which in this case would be `sqrt(36x^2)=sqrt(36)xxsqrt(x^2)` and `sqrt(36)=6 sqrt(x^2)=x` so the length of each side should be `6x`