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Math Problem
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Math Problem - December 14, 2012, 11:31 AM

I have a rectangle that is 1.2m X 0.9m

I need a new rectangle that has the equivalent to 660% of the area of the original rectangle

The new rectangle side lengths must be same proportions as the original rectangle

what are the side lengths of the new rectangle?

go


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December 14, 2012, 11:40 AM

L/W = 1.2/0.9 = 1.333, repeating of course
1.2 m x 0.9 m = 1.08 m^2
1.08 m^2 x 6.6 = 7.128 m^2
L = 1.333 x W, plugs into A = L x W
A = 1.333W x W = 1.333W^2
W^2 = 7.128/1.333 = 5.35
W = sqrt(5.35) in meters = 2.31m
L = 1.333 x W = 1.333 x sqrt(5.35) in meters = 3.08m


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December 14, 2012, 11:42 AM

Fack me miscalculation...

2.31214m X 3.08285


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December 14, 2012, 11:42 AM

.....


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December 14, 2012, 11:45 AM

3.08 x 2.31


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December 14, 2012, 11:56 AM

http://www.clocklink.com/clocks/5012...?TimeZone=PST&


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December 14, 2012, 11:57 AM

Quote:
Originally Posted by pauliodotnet View Post
3.08 x 2.31
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December 14, 2012, 11:59 AM

Which is of course what I have above, with work shown. I want Hokie's Christmas bonus, and I'm willing to fight for it!


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December 14, 2012, 12:01 PM

haha well done! A graphic designer friend of mine called me today asking me this question I thought it was a fun brain teaser

its basic geometry and algebra really


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December 14, 2012, 12:04 PM

I don't think that's a golden ration on that rectangle, tell your friend to redo it.


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December 14, 2012, 12:46 PM

I'm surprised that Adobe CS modules do not offer a means for increasing an object size by area, only width and/or height. A quick search turned up one or more 3rd party filter and plug-in options for this, but I haven't tried any.

It's worth noting that the relationship of the percent increase in area (660) to the percent increase in individual dimensions (257) can be derived by two different approaches. First, 660% is a 6.6-fold increase (divide 660 by 100 to get out of the percent scale). Then since Area (A) is simply Length (L) times Width (W), the square root of the factor of increase of A (2.569) is the factor of increase of either L or W. Alternatively, one can calculate the square root of 660 ( = 25.69) and then multiply by 10 to have the percent increase of either L or W (256.9%).

Why multiply by 10?

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December 14, 2012, 12:50 PM

square root of 100(%) equals 10


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December 14, 2012, 01:33 PM

The answer is: Shoe



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December 14, 2012, 01:35 PM

Answer is 42, duh


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December 14, 2012, 01:52 PM

Quote:
Originally Posted by OrangeShirtDude View Post
1) L/W = 1.2/0.9 = 1.333, repeating of course
2) 1.2 m x 0.9 m = 1.08 m^2
3) 1.08 m^2 x 6.6 = 7.128 m^2
4) L = 1.333 x W, plugs into A = L x W
5) A = 1.333W x W = 1.333W^2
6) W^2 = 7.128/1.333 = 5.35
7) W = sqrt(5.35) in meters = 2.31m
L = 1.333 x W = 1.333 x sqrt(5.35) in meters = 3.08m
I was with you until Step (6).
Step (1) yields the ratio. (2) is the area. (3) Area scaled up 660% (5) is the expression L x W using the ratio value to substitute for "L" in order to figure out "W"

And then I got lost... or maybe I'm not making the connection in the final steps.



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