Trapezoid MO-5-Z8

ABCD is a trapezoid that lime segment CE is divided into a triangle and parallelogram, as shown. Point F is the midpoint of CE, DF line passes through the center of the segment BE, and the area of the triangle CDE is 3 cm2.
Determine the area of the trapezoid ABCD.

Correct result:

S =  12 cm2

Solution:

EX=XB S(CDE)=S(AED)=3 S(FCD)=S(FDE)=3/2=1.5 S(EFX)=S(FCD)=1.5 S(AEDC)=2 3=6 S(XBCD)=S(AEDC)=2 3=6   S=S(AEDC)+S(XBCD)S(FCD)+S(EFX) S=6+61.5+1.5=12 cm2



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Math student
The answer is 12 cm2

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