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? Round to the nearest tenths.

Question

anonymous · Answer

I remember doing this problem. Let me find it

anonymous · Answer

$$\frac{ 3 }{ 5 } = \frac{ x }{ 10.5 }$$

anonymous · Answer

6.3

anonymous · Answer

I couldn't find the correct equation, thank you

anonymous · Answer

the highest it could be was 8.5, so we can't go over that number.

You then divide 3 and 10.5 and 5 and 10.5.

You'll get 3.5 and 2.1. From here you multiply by the opposite to see which one fits 8.5 the best.

5x3.5= 17.5 which is too high

So we then multiply
3x2.1 (which is the other number we divided) and we get 6.3 which fits into 8.5

This means that one side is 10.5 an the other is 6.3 (: 
(this may be very confusing and I'm sorry!)

anonymous · Answer

No problem

anonymous · Answer

Medal?