Post subject: if the two regisons have the same area,
Posted: Thu Apr 24, 2008 11:21 am
source: gmat prep from gmac exam
I couldn't post the pictures but you see 1) an equilateral triangle with sides of length T, and 2) an square showing right angles inside with side length S.
Question:
If the two regions have the same area, what is the ration of t:s?
A. 2:3
B. 16:3
C. 4 : sq 3
D. 2: 4th sq 3
E. 4: 4th sq 3
Correct Answer: D. 2 : 4th Sq. 3
can you please explain the answer? I couldn't get there.
Sudhan
Post subject:
Posted: Thu Apr 24, 2008 3:57 pm
ee 1) an equilateral triangle with sides of length T, and 2) an square showing right angles inside with side length S.
Question:
If the two regions have the same area, what is the ration of t:s?
Area of Eq Triangle = Area of Sq with length S
1/2*B*H= s^2
we need to find height for Triangle with length t. Drop a perpendicular bisector to find the height which is
t*sq(3)/2
1/2*t*t*sq(3)/2= t^2* sq(3)/4 -(1)
Area of Sq= s^2 -(2)'
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