Posted by sania on Wednesday, December 12, 2012 at 12:30pm.
ABCD IS A PARALLELOGRAM, G IS THE POINT ON AB SUCH THAT AG = 2GB, E IS A POINT OF CD SUCH THAT CE = 2DE AND AND F IS A POINT OF BC SUCH THAT BF = 2FC. PROVE THAT
1) ar(EGB) = 1/6 ar(ABCD)
2)ar(EFC) = 1/2 ar(EBF)
3) ar(EBG) = ar(EFC)
4) FIND WHAT PORTION OF THE ARE OF PARALLELOGRAM IS THE AREA OF EFG.

maths plse help me..  Steve, Wednesday, December 12, 2012 at 12:42pm
1)
height h of ABCD and EGB is the same
base of EGB = 1/3 AB
area(ABCD) = h*AB
area(EGB) = 1/2 h*(1/3 AB) = 1/6 h*AB
2)
base of EFC = 1/2 base of EBF
so area is 1/2 as well
3)
if g = altitude from AD to BC
area(EFC) = 1/2 * (2/3 g) * (1/3 BC) = 1/9 area(ABCD)
So, I get area(EFC) = 2/3 area(EBG)
Is there a typo here?
4)
area(EFG) = area(EGB)+area(EBF)+area(EFC)
= 1/6(ABCD)+2area(EFC)+area(EFC)
= 1/6(ABCD) + 3(1/9 ABCD)
= 1/2(ABCD)
Answer This Question
Related Questions
 maths plse help me..  ABCD IS A PARALLELOGRAM, G IS THE POINT ON AB SUCH THAT...
 maths plse help me..  ABCD ia a parallelogram whose diagonals intersecting at...
 Geometry  ABCD is a parallelogram. P is a point on AB such that AP:AB = 1:4. Q ...
 maths(GEPMETRY)  ABCD is a parallelogram. E is a point on AB such that 234×AE=...
 maths  ABCD is a parallelogram. E is a point on DC extended, such that D and E ...
 geometry  ABCD is a parallelogram. Let C′ be a point on AC extended such ...
 geometry!  ABCD is a parallelogram. E is a point on AB such that 234×AE=EB. Let...
 geometrY!  ABCD is a parallelogram. E is a point on AB such that 234×AE=EB. Let...
 geometry  ABCD is a parallelogram. E is a point on AB such that 234×AE=EB. Let ...
 Linear Relations MATHS  If A = (4,6) and B = (6,7), find: (a) the coordinates...
More Related Questions