You originally draw a design for an art contest on a 3 in. x 5 in. card. The second phase of the contest requires the drawing to be transferred to an 8.5 in x 11 in. standard sheet of paper and utilize as much of the space on the paper as possible. You determine that the largest size one of the dimensions of your drawing can be is 10.5 in. What is the length of the other dimension if the two drawings are similar? Type your exact answer in the blank without the units, and round to the nearest tenths.

Numerical Answers Expected!

Question

Mathematics

Autumn Benjamin

19 June, 16:14

You originally draw a design for an art contest on a 3 in. x 5 in. card. The second phase of the contest requires the drawing to be transferred to an 8.5 in x 11 in. standard sheet of paper and utilize as much of the space on the paper as possible. You determine that the largest size one of the dimensions of your drawing can be is 10.5 in. What is the length of the other dimension if the two drawings are similar? Type your exact answer in the blank without the units, and round to the nearest tenths.

Numerical Answers Expected!

+5

Answers (1)

Know the Answer?

Kate Gilbert · Answer 1

The answer is 6.3.

If 3 x 5 is transferred to 8.5 x 11, and the largest dimension size of the drawing is only 10.5, then we solve for scaling factor.

Let x = scaling factor.

5x = 10.5

x = 2.1

The other side would be:

3 (2.1) = 6.3

So the enlarged version of the drawing is 6.3 x 10.5