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Re: A project requires a rectangular sheet of cardboard satisfyi [#permalink]
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GreenlightTestPrep wrote:

In other words, we want x/y = y/(x/2)


Wouldn't this mean we are comparing the new length/width ratio to the old width/length ratio? Shouldn't we keep it as x/y=x/(y/2)??
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Re: A project requires a rectangular sheet of cardboard satisfyi [#permalink]
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chillMike wrote:
GreenlightTestPrep wrote:

In other words, we want x/y = y/(x/2)


Wouldn't this mean we are comparing the new length/width ratio to the old width/length ratio? Shouldn't we keep it as x/y=x/(y/2)??


I believe the intent here is to compare the longer sides to the shorter sides.
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Re: A project requires a rectangular sheet of cardboard satisfyi [#permalink]
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chillMike wrote:
GreenlightTestPrep wrote:

In other words, we want x/y = y/(x/2)


Wouldn't this mean we are comparing the new length/width ratio to the old width/length ratio? Shouldn't we keep it as x/y=x/(y/2)??



When you cut the 2 rectangles, notice the Width of original sheet is now the length of new sheet and vice-versa.
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Re: A project requires a rectangular sheet of cardboard satisfyi [#permalink]
chetan2u wrote:
GreenlightTestPrep wrote:

So, when you half a rectangle, one side will get halved and other will remain the same.
Thus the ratio of B:L should be same as L/2:B or L:2B..
This means B:L=L:2B or \(L^2=2B^2\)..
Let us check the options with this.


A

would you show me where in the question say that (B:L should be same as L/2:B or L:2B.)
what I understand (B:L should be same as B:L/2)
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A project requires a rectangular sheet of cardboard satisfyi [#permalink]
------X-----
|-----|-----|
|-----|-----| Y
|-----|-----|
------------

X/Y = Y/(.5X)
0.5X^2 = Y^2

So we're basically looking for something where the square of one number is about half the square of the other number. Looking at option A, we see 7^2 = 49, 10^2 = 100, and 49 is pretty close to half of 100.

Answer = A.
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Re: A project requires a rectangular sheet of cardboard satisfyi [#permalink]
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Re: A project requires a rectangular sheet of cardboard satisfyi [#permalink]
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