I was able to calculate the area ( 7.5 * 4 = 30 ), but don't know how to solve for X. Please see the attached image/picture. Thanks.

Thank you for the opportunity to help you with your question!

where is the attached image?????

GEOM_E11_Q3.jpg

Area of parallelogram=b*h=7.5*4=30

AD=7.5,DC=5

let triangle containing x be AXD and other triangle be CYD

both are right angled triangles and vertical angles.

so they are similar.

therfore,

AX/CY=XD/YD=AD/DC

x/4=7.5/4

x=7.5

sorry,

x/4=7.5/5

x=7.5*4/5

=30/5

=6

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