Trapezoid MO-5-Z8

ABCD is a trapezoid in that lime segment CE is divided into a triangle and parallelogram. Point F is the midpoint of CE, the 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 answer:

S =  12 cm2

Step-by-step explanation:

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



Did you find an error or inaccuracy? Feel free to write us. Thank you!



Showing 1 comment:
Math student
The answer is 12 cm2





Tips for related online calculators
See also our trigonometric triangle calculator.

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: