Question

You originally draw a design for an art contest on a 2 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.

Answer 1

@ryry626

Answer 2

hmm thats a tricky one

Answer 3

Do you think the 11 in the "8 x 11" would become the 10.5?
I'm trying to figure it out on paper right now.

Answer 4

you literally just read my mind... I think it would become the 10.5

Answer 5

Okay, so the original of 2 by 5 has to be transferred onto an 8 by 10.5...
So now do we find the difference between the values? I'm assuming the 2 corresponds to the 8 and the 5 to the 10.5?

Answer 6

I'm just not sure on the steps to get to the final answer.

Answer 7

Yes it does

Answer 8

So my lesson does this thing with making them into little fractions... could we do that here? I'm not even sure if that's correct tbh.
But, if we could go that way, 2/8.5 and 5/10.5?
cross-multiply?
I really don't get this xD

Answer 9

try cross multiplying and see what you get

Answer 10

2 x 11 = 22
5 x 8.5 = 42.5

Those values seem way too large.

Answer 11

hmmm they do