Question

The area of a square room is 16x^2+72x+81. what is the length of one side of the room

Answer 1

To find this you know that the A of a square = s^2

So the length of one side equals $s = \sqrt{16 x^{2} +72x+81}$

Since this is a perfect square, it would equal $A = (4x+9)^{2}$

And $s = \sqrt{(4x+9)^{2}} = 4x+9$

Also you know it is a perfect square because the first and last terms are perfect squares :) :D