Asked by newbie

You want to draw an enlargement of a design that is painted on a 4 in. by 5 in. You will be drawing this design on a piece of paper that is 8 1/2 in. by 11 in. What are the dimensions of the largest complete enlargement you can make?

A. 1 3/5 in by 10 5/8 in
B. 1 3/8 in by 3/5 in
C. 8 1/2 in by 4 3/8 in
D. 8 1/2 in by 10 5/8 in

I don't understand. I tried cross multiplying:

w/4 = 11/5
5w = 44
w = 8.8

But that answer converted to fractions is 8 4/5, so there's no point there.

8.5/4 = w/5
5(8.5) = 4w
425 = 4w
106.25 = w

... I don't need to convert that to fractions to know that's not right!

I really don't understand this question, and if anyone could give me the answer (if I have the answer, I can usually figure it out on my own, but if if you don't mind step-by-step that'd welcome!), I'd GREATLY appreciate it! :)

Answers

Answered by Steve
a 4x5 card does not have the same aspect ratio as the 8.5x11 paper

enlarging 4 to 8.5 is a scale of 2.125
enlarging 5 to 11 is a scale of 2.2

So, using the smaller scale, 4x5 enlarges to 8.5x10.625

or, 8 1/2 by 10 5/8

trying to enlarge it more will cause the width to exceed the paper size.
Answered by newbie
Really? How did you get that answer? @Steve
Answered by Steve
um, what in the above solution, did you not understand?
Answered by newbie
How did you get 8.5x10.625?
Answered by newbie
Wait! Oh my goodness, I'm sorry! I totally get it now! XD THANK YOU SO MUCH! ^.^ You are a lifesaver. :)
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