You want to draw an enlargement of a design that is printed on a card that is 5in by 6in. You will be drawing this design on a piece of paper that is 8 1/2 by 11in. what are the dimensions of the largest complete enlargement that you can make
To find the dimensions of the largest complete enlargement that can be made on a piece of paper that is 8 1/2 by 11in, we need to compare the ratios of the dimensions of the card and the piece of paper.
The ratio of the width of the card to the width of the paper is 5in / 8 1/2in = 10/17.
The ratio of the height of the card to the height of the paper is 6in / 11in = 6/11.
Since the ratio of the width of the card to the width of the paper is smaller than the ratio of the height of the card to the height of the paper, the width of the enlargement will be restricted.
Let's calculate the largest complete enlargement assuming we stretch the width as much as possible:
Width of enlargement = (10/17) * (8 1/2in) = 5in.
Now let's calculate the corresponding height of the enlargement:
Height of enlargement = (6/11) * 11in = 6in.
Therefore, the largest complete enlargement that can be made on a piece of paper that is 8 1/2 by 11in is 5in by 6in.