SOLUTION: A picture measures 16 inches wide by 20 inches long. If the frame is to be 20 inches wide, what is the scale factor of the frame as a dilation of the picture, and what is the leng

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A picture measures 16 inches wide by 20 inches long. If the frame is to be 20 inches wide, what is the scale factor of the frame as a dilation of the picture, and what is the leng      Log On

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Question 312788: A picture measures 16 inches wide by 20 inches long. If the frame is to be 20 inches wide, what is the scale factor of the frame as a dilation of the picture, and what is the length of the frame?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the length you need.

Then, set up a ratio: +W%2FL=+16%2F20=20%2Fx

a%2Fb=c%2Fd means ad=bc

16%2F20=20%2Fx means 16x=+20%2A20+=+400
x=+400%2F16=+25+ inches.

Dr. Robert J. Rapalje, Retired