## Nick2019 3 years ago Sarah wants to hang a mirror in her room but the mirror and frame must not have an area larger than 15 square feet. The mirror is 3 feet wide and 4 feet long. Which quadratic equation represents the area of the mirror and frame combined? (The frame must have equal width of x on each side.) 3x2 + 14x − 2 = 0 4x2 + 14x − 3 = 0 x2 + 12x − 14 = 0 2x2 + 7x − 14 = 0

1. Nick2019

Well to find the area of a rectangle we do S + S x 2 or s•s + s•s so we have 3 +4 x 2 = x or 3 x 3 + 4 x 4 = x @lgbasallote Right-o?

So far at least haha obviously not the full answer yet but I want to make sure I'm on the right track.

4. Nick2019

umm i really dont know but if you get the wrong answer no big deal :)

lol no problem xD

6. SmoothMath

Mmm, I don't quite see what you're saying there. I don't think it's right.

7. Nick2019

what did you get?

Well we have to find the initial area before doing the next part xD lol idk @nick SmoothMath is a dollface he's really good at helping :D I'll shut up now :x

9. SmoothMath

That's a thought, Becca, but this will work better. First, Nick, simply draw a picture, like this |dw:1341586226088:dw| See how I drew the mirror, 3X4, and then the frame around it has a width of x?

10. Nick2019

yep

11. SmoothMath

To find the area, we need to do L*W, but first, we should write an expression for how long L is and another for how long W is. See if you can do that on your own.

12. Nick2019

ok thanks for the help

13. SmoothMath

Haha don't leave yet. Tell me what you get for how long L is.

14. lgbasallote

i think what @rebeccaskell94 did is a variation of the perimeter...looks like combo of perimeter and area

oh pffft my bad. I need to stop helping people in math xD

16. lgbasallote

lol dont get discouraged!!

17. SmoothMath

Becca, the best way to learn something is to teach it. Just try to make sure you understand it before you teach =)

18. lgbasallote

like einstein said...if you cant explain it simply then you dont understand it fully

19. SmoothMath

Great quote =) I try to let it inform my teaching style.