SOLUTION: 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?

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.
RELATED QUESTIONS
A picture frame is 22 cm by 15 cm. If 198 cm squared of picture shows, find the width of (answered by richwmiller)

all about quadrilaterals a picture frame is 24cm by 18 cm. if the area of the picture... (answered by richwmiller)

The frame of a picture is 28 cm by 32 cm outside and is of uniform width. What is the... (answered by fractalier)

The frame on a picture is 28 cm by 32 cm outside and is of uniform width. What is the... (answered by lwsshak3)

A picture frame measures 28 cm by 32 cm and is of uniform width. What is the width of the (answered by checkley77)

A picture frame is 18 cm by 14cm. There are 192 cm2 of picture showing. Find the width of (answered by mananth)

The frame of a picture is 30 cm by 34 cm outside and is of uniform width. What is the... (answered by ankor@dixie-net.com)

A picture 18 cm by 15 cm, has a uniform frame around it. If the area of the frame is 234... (answered by lwsshak3)

A picture frame measures 14 cm by 20 cm. 160 cm^2 of the picture shows inside the frame.... (answered by checkley77)