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 11 in. What are the dimensions of the largest complete enlargement that you can make?(1 point)
To find the dimensions of the largest complete enlargement, we need to compare the proportions of the card and the piece of paper.
The card has dimensions of 5 inches by 6 inches, which can be simplified to a ratio of 5/6.
The piece of paper has dimensions of 8 1/2 inches by 11 inches, which can be simplified to a ratio of 8.5/11.
We can find the largest complete enlargement by finding the common ratio between the two proportions.
(8.5/11)/(5/6) = (8.5/11) * (6/5)
= 51/55
This means that the largest complete enlargement will have dimensions that are proportional to 51/55 of the original design.
To find the dimensions of the enlargement, we need to scale up the dimensions of the card by multiplying them by the common ratio.
5 inches * (51/55) = 4.716 inches (approx.)
6 inches * (51/55) = 5.021 inches (approx.)
Therefore, the largest complete enlargement that can be made on the piece of paper is approximately 4.716 inches by 5.021 inches.