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I have a picture with dimensions x and y (in inches), such that x and y are both integers greater than one. I would like to place this picture in an elongated frame of dimensions (2x + 3) and (y+2). If I measured the area of the frame to be 82 square inches, what is the area of the picture in square inches? 

 Jul 22, 2022
 #1
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(2x + 3) ( y + 2)  =  82

 

This can't be done

 

(2x + 3) and (y + 2)  must both be integers.....but the only factors of 82  are  1,  2,  41 and  82

 

The only possible non-zero solutions for x , y   is  x = 19  and  y = 0

 

But we're told that  x and  y are positive integers.....

 

 

cool cool cool

 Jul 22, 2022

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