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Comment on Rectangle’s height
Hi,
As per the ques https://gre.myprepclub.com/forum/a-project-requires-a-rectangular-sheet-of-cardboard-satisfyi-12275.html
The resulting rectangles has the same ratio of length to width as the original sheet : what is exactly meant by that
Question link: https:/
Question link: https://gre.myprepclub.com/forum/a-project-requires-a-rectangular-sheet-...
So, for example, let's we have a rectangle such that length : width = x : y
If we were to cut that rectangle in half, we want EACH of resulting rectangles to have a length to width ratio of x : y
In the following solution, I provide a diagram that may help: https://gre.myprepclub.com/forum/a-project-requires-a-rectangular-sheet-...
Please let me know if you'd like me to elaborate on my solution.
Cheers,
Brent
Hi,
I got that but Iam not able understand
as you wrote "we want x/y = y/(x/2)" . I have checked by plotting some values and your statement is correct
but on the other hand, as per the ques should I interpret that x : y = x : 2y ( taking half of length) and not
x/y = 2y/x .
Plz let me know what am I missing
Thanks
Question link: https:/
Question link: https://gre.myprepclub.com/forum/a-project-requires-a-rectangular-sheet-...
The question isn't worded very well.
However, for this question, the equation x : y = x : 2y is unsolvable (unless x = y = 0)
We're comparing the dimensions of the original rectangle to the dimensions of one of the newly-formed rectangle.
For this comparison, it would probably be better/clearer to state that we want the following to be true:
(length of shorter side of ORIGINAL rectangle) : (length of longer side of ORIGINAL rectangle) = (length of shorter side of NEW rectangle) : (length of longer side of NEW rectangle)
Does that help?
Cheers,
Brent
Question link: https:/
Question link: https://gre.myprepclub.com/forum/a-project-requires-a-rectangular-sheet-...
The question isn't worded very well.
However, for this question, the equation x : y = x : 2y is unsolvable (unless x = y = 0)
We're comparing the dimensions of the original rectangle to the dimensions of one of the newly-formed rectangle.
For this comparison, it would probably be better/clearer to state that we want the following to be true:
(length of shorter side of ORIGINAL rectangle) : (length of longer side of ORIGINAL rectangle) = (length of shorter side of NEW rectangle) : (length of longer side of NEW rectangle)
Does that help?
Cheers,
Brent
Hi,
I have understood this part (length of shorter side of ORIGINAL rectangle) : (length of longer side of ORIGINAL rectangle) = (length of shorter side of NEW rectangle) : (length of longer side of NEW rectangle)
But why x/y = y/(x/2) =2y/x won't it should be x/y = x/2y?
May I assume that to hold the above condition to be true it should be x/y = y/(x/2) =2y/x , so it will be as close to the original ratio
Plz clarify
When we cut the original
When we cut the original rectangle in half (with dimensions x by y), one of new rectangles will have the dimensions x/2 by y (since we're cutting the side with length x into two pieces.
So, based on the equation (length of shorter side of ORIGINAL rectangle) : (length of longer side of ORIGINAL rectangle) = (length of shorter side of NEW rectangle) : (length of longer side of NEW rectangle)...
...the equation becomes: y/x = (x/2)/y
We can take the ratio (x/2)/y and multiply top and bottom by 2 to create an EQUIVALENT ratio x/2y
So, our equation becomes y/x = x/2y
Of if we flip both ratios, we get: x/y = 2y/x (either is valid)
Cheers,
Brent
Understood. Thanks Brent
Hi, on the GRE if they
Great question!
Great question!
On the GRE, the length need not be longer than the width.
Cheers,
Brent