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A large parallelogram is divided into four small parallelograms as shown. The areas of three of the four small parallelograms are labeled in the diagram. What is the area of the remaining small parallelogram?

 

ps: the answers arent 3,2 or 1

 

 Jan 18, 2019
edited by saisagod  Jan 18, 2019
 #1
avatar+103915 
+2

The products of diagonal areas are equal

 

Thus

 

4*5 = 6 *x  

 

20 = 6 * x       divide both sides by  6

 

20 / 6  =  x  =   10 / 3   =  missing area

 

 

cool cool cool

 Jan 18, 2019
 #2
avatar+42 
+1

thanks

saisagod  Jan 18, 2019
 #3
avatar+103915 
+1

Proof of this

 

Height * Width = Area

x * y   = 4

x * z =  6

w * z = 5

w * y = ???

 

y = 4 /x

w = 5/z

 

w * y   =     4/ x  *  5 /z     =   20 / xz  = 20 / 6   =   10 / 3

 

cool cool cool

 Jan 18, 2019
edited by CPhill  Jan 18, 2019

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