Please, help with this:
Can anyone try please?
Thanks
Silvia
if the two regions above
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Area of the equilateral triangle = (t^2)*(1/4)*(sqrt3) and the area of the square = s^2
equating the two, t^2(sqrt3)/4 = s^2 hence (t/s)^2 = 4/sqrt(3) or t/s = (4/3^(1/2))^(1/2)
which seems complicated but in fact comes to t/s = 2/(3)^1/4
Hope it helped.
equating the two, t^2(sqrt3)/4 = s^2 hence (t/s)^2 = 4/sqrt(3) or t/s = (4/3^(1/2))^(1/2)
which seems complicated but in fact comes to t/s = 2/(3)^1/4
Hope it helped.
- papgust
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I suggest that you search the question first before you post,
https://www.beatthegmat.com/areas-and-ratios-t29764.html
https://www.beatthegmat.com/areas-and-ratios-t29764.html
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Hi Papgust,papgust wrote:I suggest that you search the question first before you post,
https://www.beatthegmat.com/areas-and-ratios-t29764.html
Actually, I did it, for the last posts ... anyway I'm going to check the other posts ...
Thanks mj78ind for your quick answer.
Silvia.
- Patrick_GMATFix
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Hi Silvia,
You may find it worthwhile to memorize the formula for the area of an equilateral triangle of side t. The area is t^2*root(3)/4. We're told that this area is the same as the area of the square (s^2). Thus we can equate the two values and manipulate the equation until we isolate t/s.
If you perform the simplification correctly, you will find that t/s equals answer D. This is the OA.
A detailed step-by-step solution, a 30-second hack, and a video solution are available at GMATPrep Question 1111. To practice similar questions, set topics='Geometry' and difficulty='700+' in the Drill Generator
Hope you kick butt tomorrow!
-Patrick
You may find it worthwhile to memorize the formula for the area of an equilateral triangle of side t. The area is t^2*root(3)/4. We're told that this area is the same as the area of the square (s^2). Thus we can equate the two values and manipulate the equation until we isolate t/s.
If you perform the simplification correctly, you will find that t/s equals answer D. This is the OA.
A detailed step-by-step solution, a 30-second hack, and a video solution are available at GMATPrep Question 1111. To practice similar questions, set topics='Geometry' and difficulty='700+' in the Drill Generator
Hope you kick butt tomorrow!
-Patrick
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