In the figure below, ABCD is a parallelogram, AD = 18 and DC = 27. Segments EG (which is a repeating decimal) and FH (which is a repeating decimal) are perpendicular to sides of the parallelogram as shown, and EG = 40. Determine FH.
The area of the parallelogram is the base times the height.
If you consider the base to be CD and the height to be GE, the area = 27 x 40 = 1080.
However, you could consider the base to be AD and the height to be FH (it will have the same area).
1080 = 18 x FH ---> FH = 60
I'm giving this my best shot at it(tel me if i am wrong) Also befor i start. The problem said"Segments EG (which is a repeating decimal)" and "EG = 40"
40 is not a repeating decimal.
EG=40
DC=27
40*27=1080
next,BC*FH=1080 and BC=AD=18
1080/18 = 60
FH=60
Just like geno3141!
And guest, in geno3141's answer, EG is smaller than AD
I believe the question has some error it says EG=40 and AD=18
AD is a hypotenuse of EG so....