Homework Help

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

user profile pic

luke18035 | Student, Grade 9 | (Level 1) Honors

Posted July 27, 2013 at 6:30 PM via web

dislike 1 like

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

1 Answer | Add Yours

user profile pic

tjbrewer | Elementary School Teacher | (Level 2) Associate Educator

Posted July 27, 2013 at 6:42 PM (Answer #1)

dislike 1 like

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`

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes