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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.

 

 Jan 8, 2022
 #1
avatar+23198 
+2

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

 Jan 8, 2022
 #2
avatar+1696 
+4

Your numbers are wrong!!! cheeky

 

EG must be smaller than AD!!!

 Jan 8, 2022
 #3
avatar+361 
+2

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....

 Jan 9, 2022

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