Problema Solution

Rhett decides to build a square room for his movie and music collection. If the area of the room is 9x2 − 6x + 1 square feet, what is the length of one side of the room?

Answer provided by our tutors

the area of the room is


A = 9x^2 + 6x + 1


let 'a' represent the length of one side then A = a^2


9x^2 + 6x + 1 = (3x)^2 + 2*(3x) + 1^2 = (3x + 1)^2


now we can write


a^2 = (3x + 1)^2


a = (3x + 1) ft


the length of one side of the room is (3x + 1) feet.