You originally draw a design for an art contest on a 4 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.

Question

jordanloveangel · Answer

8.8

anonymous · Answer

Is that rounded?

jordanloveangel · Answer

From what I can tell, that largest dimension must have been the largest dimension of the original drawing which is 5 in. Thus, your drawing must be increased in the scale of 11/5(final over original dimension.) Using this scale

jordanloveangel · Answer

you know that you scaled the original by a factor of 2.5 now. If 4 in. is the original and you scale it up by a factor on 2.5, what do you do?  u multiply i got 8.8

jordanloveangel · Answer

or If the 4" side of the card was scaled up to 10.5" then the scaling factor is 10.5/4 = 2.625. 
The 5" side would thus be of length 5 x 2.625 = 13.125 which exceeds the maximum dimension of 11". 

Thus, it is the 5" side which is scaled up to 10.5" and the scaling fator is therefore 10.5/5 = 2.1. 
The scaled up length of the 4" side is thus 4 x 2.1 = 8.4".

anonymous · Answer

It wasn't 8.4 when I did it before

jordanloveangel · Answer

wait the answer is 8.8 sorry wrong text