SOLUTION: Okay so I know it has to do with proportions and I don't necessarily need an answer I just need to know how to set this problem up. Please and thank you :) A 4 by 6in. Drawing

Algebra ->  Proportions -> SOLUTION: Okay so I know it has to do with proportions and I don't necessarily need an answer I just need to know how to set this problem up. Please and thank you :) A 4 by 6in. Drawing       Log On


   

Question 827332: Okay so I know it has to do with proportions and I don't necessarily need an answer I just need to know how to set this problem up. Please and thank you :)
A 4 by 6in. Drawing is enlarged to put on a poster that measures 20 by 24 in. What are the dimensions of the largest enlargement possible?
I feel like the largest would be 20 by 24. Right?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Not right.
The length to width ratio of the drawing is
6%2F4=3%2F2=1.5
The drawing's length is 1.5 times its width.
With a width if 20 inches, the same ratio would require a length of 30 inches (1.5 times 20 inches).
6%2F4=L%2F20 --> 6%2A20%2F4=L --> L=30
Your poster is not long enough. It is much more "squarish" than the drawing.
You cannot enlarge the drawing so much.
You can only enlarge it enough the fill the length, but will end up with an enlarged drawing narrower than the 20 inch width of the poster.
The width to length ratio of your drawing (before and after enlarging) is
width%2F%2224+inch%22=4%2F6 --> width=4%2A%2824inch%29%2F6 --> highlight%28width=16inch%29 .
Your enlarged drawing will measure 16 inches by 24 inches.