Question 430036: picture frame is 22 cm by 15 cm. If 198 cm2 of picture shows, what would the width of the frame if all sides are even?
Answer by jorel1380(3719)   (Show Source):
You can put this solution on YOUR website! Let X equal the width of our frame. 22-2x equals the area inside the frame that shows a picture (It's 2x because we have frame surrounding both sides of the picture). Likewise, its length is 15-2x, since the width of the frame is consistent throughout. Thus:
(22-2x)(15-2x)=198
330-74x+4x2=198
4x2-74x+132=0
2x2-37x+66=0
(2x-33)(x-2)=0
If we use x=2, we see our equation works. 22-2x=18, 15-2x=11---so our picture is 18X11, which gives us 198cm2, and our frame is 2cm wide.
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