SOLUTION: A teacher needs to enlarge a rectangular 11 in. by 17 in. map to fit in a rectangular 3 ft. by 3 ft. display space. If the scale factor used to create the enlarged map must be a wh

Algebra ->  Surface-area -> SOLUTION: A teacher needs to enlarge a rectangular 11 in. by 17 in. map to fit in a rectangular 3 ft. by 3 ft. display space. If the scale factor used to create the enlarged map must be a wh      Log On


   



Question 1112596: A teacher needs to enlarge a rectangular 11 in. by 17 in. map to fit in a rectangular 3 ft. by 3 ft. display space. If the scale factor used to create the enlarged map must be a whole number, what will be the area of the largest map that will fit in the display space?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So the enlargement will be limited by the 17" side.
The scale factor would be 36%2F17.
So the 17" side will become 36" and the 11" side will become,36%2A%2811%2F17%29
So the largest area map will be,
A%5Bmax%5D=36%2A%2836%2811%2F17%29%29
A%5Bmax%5D=14256%2F17in%5E2