Homework Help: maths --plse help me..

Posted by amit on Wednesday, December 12, 2012 at 1:22pm.

ABCD is a parallelogram in which BC is produced to E suh that CE=BC.AE intersects CD at F.if ar(DFB)=3cm^2.
find the area of the parallelogram ABCD.

maths --plse help me.. - Steve, Wednesday, December 12, 2012 at 2:34pm
by similar triangles,

FC/AB = CE/BE = 1/2
so, F is the midpoint of CD

if the altitude of ABCD from AB to CD is h,

area(ABCD) = h*CD
area(DFB) = 1/2 * h * DF = 1/2 * h * CD/2 = 1/4 h*CD

so, area(ABCD) = 12

Answer this Question

Related Questions

maths --plse help me.. - ABCD is a parallelogram in which BC is produced to E ...
maths --plse help me.. - ABCD is a parallelogram in which BC is produced to E ...
maths --plse help me.. - ABCD IS A PARALLELOGRAM, G IS THE POINT ON AB SUCH THAT...
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...
maths --plse help me.. - In a parallelogram ABCD, diagonals AC & BD ...
maths --plse help me.. - In a parallelogram ABCD, diagonals AC & BD ...
Geometry - Given: ABCD is a parallelogram; <1 is congruent to <2 ...
geometry - E,F MID POINTS OF AB AND CD PROVE THAT EF=1/2(AE+BC)+EF||AD+EF||BC ...
geometry (maths) - ABCD is a rectangle, in which BC=2AB. A point E lies on ray ...

For Further Reading

First Name:
School Subject:
Answer: