David wants to hang a mirror in his room but the mirror and frame must not have an area larger than 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation represents the area of the mirror and frame combined?
The equation would be
For problems like these, I would strongly recommend you draw a diagram.
Letting the length difference between the length of the frame and the length of the mirror be
However, since the area of the mirror and frame combined cannot exceed
Assuming that David wants the mirror with the largest possible area, we can change the inequality sign to an equal.
Hopefully this helps!