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)

1 answer

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.