You want to draw an enlargement of a design that is printed on a card that is 5 in. By 6 in. You will be drawing this on a piece of paper that is 8 1/2 in. by 11 in. What are the dimensions of the largest complete enlargement you can make ?
We have to find maximum possible enlargement in x and maximum possible enlargement in y. Then the result will be the smaller of the two.
Original is 5×6 in. and piece of paper is 8.5×11 in.(upload://w7VnNVrwOPYtvLNY9slcZjGcY1r.png)
Possible enlargement in x is:
Possible enlargement in y is:
This means that the maximum possible enlargement of the original is 1.7 times.
Thus, dimensions of the largest complete enlargement we can make is: